First, determine if the example is EXLUSIVE (M.E.) or
INCLUSIVE (Inc.) and circle the correct answer.
Then, find the probability of the example.

A die is rolled. What is the probability of rolling a 5 or a number greater than 3?
ME. Incl P (5 or >3) =

A die is rolled. What is the probability of rolling a 2 or a 6?
ME. Incl P (2 or 6) =

A card is drawn from a standard deck of cards. What is the probability of drawing a 6 or a king?
M. E. Incl P (6 or K) =

A card is drawn from a standard deck of cards. What is the probability of drawing a queen or a spade?
M. E. Incl P (Q or Spade) =

Answers

Answer 1

Answer:

Sorry I had to go to dinner here you go hope this helps! :D

Step-by-step explanation:

So, before we start, there are two things we have to go over.

First off, we have "or"

When using or between two probabilitess, you are basically adding them together.

For instance, you first question asks what the probability is of rolling a 5 or a number greater than 3(assuming this is a 6 sided dice).

So, rolling a 5 is a change of 1/6. Since 1 of the 6 dice iwll be 5. The other probability is a 1/2, since 3 of the 6 dice are over 3.

Now lets add these two together because of the "or":

1/2+1/6=3/6+1/6=4/6

So the probabily of rolling a 5 OR rolling a number greater than 3 is 4/6.

This is inclusive, since rolling a 5 is possible and greater than 3.

Now "and" is a bit different and more complex than or is.

Here is an example:

What is the change of rolling a even number or rolling a number above 4?

Well, rolling a even number has a probability of 1/2. Rolling a number above 4 is 1/3.

To find the "and", we multiply the two probabilities.

So 1/3*1/2=1/6

So the probability of rolling a even number and a number above 4 is 1/6.

Now, lets get back to the answers.

So what is the probability of rolling a 2 or a 6?

There is a 1/6 probability to get a 2, and a 1/6 probability to get a 6.

Add it together since they use or:

1/6+1/6=2/6

So the probability of rolling a 2 or a 6 is 2/6, or 1/3.

This is exlusive since you cant roll both a 6 and a 2 at the same time.

Next we have what the probability is of drawing a 6 or a king.

There are 13 different cards in a deck.

There is a 4/52 chance of drawing a 6(spade/heart/etc), and a 4/52 chance of drawing a king. This simplyfies to 1/13 for each.

This is:

1/13+1/13=2/13

So the probability of drawing a 6 or a king is 2/13

This is a exclusive event since a king and 6 cant be drawn at the same time.

Finally, we have:

What is the probability of drawing a queen or a spade?

Again, there is a 4/52 chance of drawing a queen. A spade, however, is different.

13 of the 52 cards can be spades, which simplies to 1/4.

So we have 1/13+1/4=4/52+13/52=17/52

So there is a 17/52 probability of drawing a queen or spade.

This is a inclusive event since it is possible to draw both a spade and queen at the same time.

Hope this answers all your questions and helps you understand what "and" "or" are in probability.


Related Questions

explicit formula for an the nth term of the sequence 38,48,58

Answers

Answer:

10n + 28

Step-by-step explanation:

a + d (n-1)

a = 38

d = 10

38 + 10 (n-1)

38 + 10n -10

10n +38 - 10

10n + 28

Hope this helps!

EXERCISE 22.3
1.Divide 250 in the ratio 3:2
2.Divide 144 in the ratio 1:2
3.Divide 10 kg in the ratio 2:3
4.Divide 1 hour in the ratio 5:7
5.Divide 8m in the ratio 3:13
6.Divide 45 km in the ratio 7:8.
7.Divide 4 hours in the ratio 5:3
8 .Divide 2 kg in the ratio 3:7
9 .Divide 3 litres in the ratio 7:5
10.Divide 1 cm in the ratio 2:3
11.Divide 70 in the ratio 60% to 40%
12.Divide 1 hour in the ratio 20% to 80%
13 .Express the ratio 3:17 as percentages.
14 .Express the ratio 9:31 as percentages.

Answers

2. 144/1:2 is 144/ ½ = 144 x 2/1 = 288

12
Activity 2
1. Express each as a unit rate.
a) A car travelled 150 km in 3 hour. Show your work.​

Answers

Given:

A car traveled 150 km in 3 hour.

To find:

The unit rate.

Solution:

We have,

Distance = 150 km

Time = 3 hours.

In this case speed is the unit rate.

[tex]Speed=\dfrac{Distance}{Time}[/tex]

Substituting the given values, we get

[tex]Speed=\dfrac{150\text{ km}}{3\text{ hr}}[/tex]

[tex]Speed=50\text{ km/h}[/tex]

Therefore, the unit rate is 50 km/h.


A delivery company has 2 shipping options. One option is to pay a flat fee of $16 for a single package regardless of weight. The other option is to
pay a fee of $4.50 plus $1.70 per pound for a single package.
Which system of equations can be used to determine the weight, w, of the package, in pounds, where the cost, c, will be the same for both
shipping options?

Answers

Step-by-step explanation:

the equation is

c =>

4.50 + 1.70 w = 16

How is 1 over 9 a rational number?

Answers

Answer:

Because 1/9 is a fraction with integers meaning it is a fraction with whole numbers.

Step-by-step explanation:

Any number that can be written as a fraction with integers is called a rational number. For example, 17 and −34 are rational numbers. (Note that there is more than one way to write the same rational number as a ratio of integers. For example, 17 and 214 represent the same rational number.)

Hope this helps

Lebron has committed to a new workout plan at the beginning of January. He begins by doing 10 pushups on January 1 and will increase the number of pushups by 2 each day. How many pushups will he do on January 31? Show your calculations.​

Answers

Answer:

ok so if he starts by doing 10 and does 2 evrey day that means he will be doing 70 push ups on the last day of the month since

2*30+10=70

PLS HELP ASAP GIVING BRAINLIEST TO RIGHT AWNSER

Answers

It's C, just look at where the points are.

Answer:

It's C,

hope it helps

A common factor of 3k and 18 that is greater than 1 is

Answers

Answer and Step-by-step explanation:

A common factor of 3k and 18 is 3.

3 goes into both of these numbers, and is greater than 1.

#teamtrees #PAW (Plant and Water)

which answer represents the series in sigma notation 1+1/4+1/16+1/64+1/256+1/1024+1/4096

Answers

Answer:

1/(4^(n-1))

Step-by-step explanation:

if you start at zero then this should be the solution

The length of a bridge is 180 m. The length of each of Robert's paces is 55 cm.
What is the minimum number of full paces that it would take Robert to walk the full length of the bridge?

Answers

Answer:

328 paces

Step-by-step explanation:

180m=180,00cm

18000÷55=3600/11=327 3/11

What is the value of x to the nearest tenth?
A)7.2
B)4.8
C)12.0
D)9.2

Answers

Answer:

x = 7.2

Step-by-step explanation:

a² + b² = c²

x² + (19.2/2)² = (24/2)²

x² + 9.6² = 12²

Subtract 9.6² from both sides

x² = 12² - 9.6²

x² = 51.84

x = 7.2

PLEASE I NEED THE ANSWER DON'T IGNORE MY QUESTION!!! Solve for X for the following

Answers

Answer:

Fig. 1 :- 7.6

Fig. 2 :- 15

Step-by-step explanation:

We can use Pythagoras theorem to solve for x

[tex]c^{2} =a^{2} +b^{2}[/tex]

Figure 1:

[tex]c^{2} =7^{2} +3^{2}[/tex]

[tex]c^{2} =49+9[/tex]

[tex]c^{2} =58[/tex]

[tex]c=\sqrt{58}[/tex]

[tex]c=7.615773106[/tex]

You can now round your answer:

[tex]c=7.6[/tex]

Figure 2:

[tex]c^{2} =12^{2} +9^{2}[/tex]

[tex]c^{2} =144+81[/tex]

[tex]c^{2} =225[/tex]

[tex]c=\sqrt{225}[/tex]

[tex]c=15[/tex]

I hope this helps :)

Step-by-step explanation:

fig(1)

h=x

p=3

b=7

now,

h^2=p^2+b^2. (by Pythagoras theory)

or, x^2=3^2+7^2

or, x^2=9+49

or, x^2=58

or, x=√58

fig(2)

h=x

p=12

b=9

now,

h^2=p^2+b^2

or, x^2=12^2+9^2

or, x^2=144+81

or, x^2=225

or, x=15

The answer of the puzzle is?
PLEASEEE HELPPP ILL MARK BRAINLY

Answers

Step-by-step explanation:

this is the first time ⏲️has a very

Which of the following best describes the graph below?

Answers

Your picture is black ?
The screen is dark so i cant see it

what is the word capacity mean​

Answers

Answer:

the maximum amount that something can contain. hope this helps :)

Step-by-step explanation:

3x-y=-1. X-2y=-12 solve by using graphing

Answers

Answer:

x = 2

y = 7

Step-by-step explanation:

Graphing calculators are everywhere but ok.

I attached a graph.

A submarine first went down 725 feet below sea level. It then went up 150 feet. What was the final depth of the submarine?

Answers

Answer:

575 feet

Step-by-step explanation:

the final depth = 725-150= 575

A department store manager to estimate at a %90 confidence level the mean about by all customers at this store

Answers

Answer:

The answer is "287.19"

Step-by-step explanation:

Please find the complete question in the attached file.

[tex]\alpha=1-0.90=0.10\\\\\frac{\alpha}{2}=0.05\\\\Z=1.64\\\\Marginal \ error=Z \times \frac{\sigma_x}{\sqrt{n}}\\\\n=(\frac{Z \times \sigma_x}{error})^2\\\\n=(\frac{1.64 \times 31}{3})^2\\\\n=287.1895\approx 287.19[/tex]

According to Chad, all intersecting lines form right angles.

If he's right, explain why.

A. Chad is correct because intersecting lines are always perpendicular.

B. Chad is incorrect because intersecting lines are never perpendicular.

C. Chad is incorrect because intersecting lines are sometimes perpendicular.

D. Chad is correct because intersecting lines are sometimes perpendicular.

Answers

Answer:

C. Chad is incorrect because intersecting lines are sometimes perpendicular.

Step-by-step explanation:

SOMETIMES perpendicular (90 degree angle, aka right angle) not always.

Chad is incorrect because intersecting lines are sometimes perpendicular.

What are perpendicular lines?

If the angle between two lines is 90 degrees, lines are called perpendicular lines.

If two lines intersect each other, it is not necessary that they will intersect at 90°.

Sometimes they can intersect at 90° and sometimes not.

So, Chad is incorrect because intersecting lines are sometimes perpendicular.

Hence, Chad is incorrect because intersecting lines are sometimes perpendicular.

To get more about intersecting lines visit:

https://brainly.com/question/18013592

What’s the answer?? Pls help

Answers

Answer:

11

Step-by-step explanation:

w

Graph a line that contains the point (-6,1) and has a slope of 5

Answers

Answer:

Step-by-step explanation:

Equation of a line passing through a point (h, k) and slope 'm' is given by,

y - h = m(x - k)

Equation of a line passing through (-6, 1) and slope = 5,

y - 1 = 5(x + 6)

y = 5x + 31

Input-output values of the given equation,

x        -6              -4              -2              0                            

y          1               11              21             31              

Now plot these points on a graph.

A line segment joins points P(-1, -7) and Q (7, 3) Determine the length of PQ to 1 decimal place?

This unit is square roots and Pythagorean Therorum. ​

Answers

Answer:

12.8 units

Step-by-step explanation:

PQ=(X2-X1)²+(Y2-Y1)²

=(7-(-1))²+(3-(-7)

=164

then find square root of 164 that gives you 12.8units

Find the solution of y = 6x + 1 for x = 5

Answers

Answer:

y equals to 31

Step-by-step explanation:

6(5) = 30

30+1 = 31

write an integer for this situation

1 . $50 deposit

Answers

50 i think i need points lol
answer: 50
explanation: integers are numbers that can be written without a fraction or decimal. so if it was a withdrawal of $50 the integer would be -50 but a deposit would be a positive 50.

hope this helps

Soduko help please show work please answer BORH questions

Answers

Answer:

Step-by-step explanation:

David is a professional ice skater who has skated in 10 competitions. ​His scores in the competitions are as follows: 204, 310, 279, 314, 257, 302, 232, 261, 208, 217.

The mean score is:
A: 268
B: 268.4
C: 267
D: 267.4

Answers

Answer: 267.7

I just did the math and I got this answer

Tyrone is converting StartFraction 45 Over 50 EndFraction to a percent. Which method should he use to find the percent?

Answers

Answer:

Multiply the numerator and the denominator of the fraction by 2.

Step-by-step explanation:

Here are the options :

Divide the numerator and denominator of the fraction by 2.

Subtract 40 from the numerator and denominator of the fraction.

Multiply the numerator and the denominator of the fraction by 2.

Add 50 to the numerator and denominator of the fraction.

(45 x 2) / (50 x 2) = 90/100

Multiply 90/100 by 100 = 90%

the same answer would be gotten if 45/50 is multiplied by 100

45/50 x 100 = 90%

Solve this equation

1 . B/-7 = 4

Answers

Step-by-step explanation:

B/-7 = 4

Cross multiple

-7×4 = B

-28 = B

Answer:

-28

Step-by-step explanation:

First, multiply 4*-7= -28.

You're done. B=-28

Hope this helps!

Please help me need ASAP

Answers

Answer:

The answer is either (3) or (4) because drawing a line of best fit and finding its gradient is going to give you a negative answer

Answer:

-0.93

Step-by-step explanation:

As mentioned by Nicolas above, the line of best fit should give a negative coefficient because as x increases, y decreases.

Furthermore, since the lines do not make a perfect line, it cannot be the perfect fit, or a correlation of -1.00.

So we choose a negative answer but not -1.00 as explained previously.  That lease the only choice of -0.93, by elimination without doing any calculations.

please help! 10 points and brainlyist!!

Answers

Answer:

1.80 in^3

1.0 fluid ounces^3

Step-by-step explanation:

volume of a cone = 1/3 πr²h

π = 3.14

r = 2.2 / 2 = 1.1

h = the value of h can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

1.8² = 1.1² + b²

3.24 = 1.21 + b²

3.24 - 1.21 = b²

2.03

b = √2.03 = 1.42

Volume = 1/3 x 3.14 x 1.21 x 1.42 = 1.80 in^3

1.80 x 0.554 = 1.0 fluid ounces^3

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