Question 5 When two dice are rolled the probability of the getting a sum of eigh

Question

Question 5

When two dice are rolled the probability of the getting a sum of eight and both dice show the same number is 1/36.

True

False

4 points

Question 6

When a single die is rolled, the probability of getting a seven is 1/6.

True

False

4 points

Question 7

What is the probability to get a tail when tossing a single coin?

1/2

1/4

1/3

2/3

4 points

Question 8

A box contains 9 red marbles, 8 green marbles and 4 white marbles. If a marble is selected at random, what is the probability that it is not white?

8/21

17/21

4/21

13/21

4 points

Question 9

A single die is rolled. What is the probability that the number on top is no greater than 4?

1/4

2/3

3/4

5/6

4 points

Question 10

A card is drawn at random from an ordinary deck of playing cards. What is the probability of getting a black jack?

4/13

1/4

1/26

2/13

4 points

Question 11

Events A and B are defined on a sample space with P(A|B) = 0.5, and P(B)=0.8. Find P(A and B).

0.13

1.3

0.04

0.4

4 points

Question 12

From a single deck of ordinary playing cards, what is the probability of drawing a queen given that a black card was selected?

1/13

4/13

5/26

1/26

4 points

Question 13

If the odds in favor of an event occurring are 7 to 9 (7:9), find the probability against the event occurring.

7/9

7/16

9/16

2/9

4 points

Question 14

If M and N are independent events, P(M) =.5 and P(N)=.7, then P(M and N) = ___

0.12

3.5

1.2

0.35

4 points

Question 15

If P(N) = 0.4, P(N or V)=0.9, and P(N and V)=0.2, find P(V).

0.7

0.3

-0.7

0.5

4 points

Question 16

In a MATH class, there are 12 freshmen and 8 sophomores; 7 of the sophomores are females and 7 of the freshmen are males.

The probability of "the student selected is a sophomore"

The probability of "the student selected is a female"

The probability of "the student selected is a sophomore and female"

The probability of "the student selected is a sophomore or female"

12/20

13/20

7/20

8/20

10 points

Question 17

In a Math class, there are 12 freshmen and 8 sophomore; 7 of sophomores are females and 7 of freshmen are males. Find the probability that the students selected is a freshmen given that the students is a male.

12/20

7/8

5/20

1/20

4 points

Question 18

In an exclusive county club, 68% of the members play bridge and drink champagne. And 83% of members play bridge. If a member is selected at random, find the probability the member drinks champagne, given that the member plays bridge.

0.82

0.78

0.68

0.83

4 points

Question 19

In the two dice experiment, find the probability that the number on the black die is larger than the number on the white die.

5/12

15/52

1/3

1/4

4 points

Question 20

What are the odds in favor of drawing a card and getting a heart?

3:1

1:4

1:3

3:1

4 points

Question 21

What are the odds against drawing a card and getting a heart?

4:1

1:3

1:4

3:1

4 points

Question 22

In a class of 22 students, there are 7 females and 15 males. If a committee of three is randomly selected. What is the probability that two are females and one is male?

0.0227

0.4091

0.0682

0.2045

4 points

Question 23

A box contains 5 blue marbles, 3 red marbles and 6 white marbles. If three marbles are drawn without replacement, what is the probability that two are blue and one is red?

0.0824

0.0027

0.0495

0.0302

4 points

Question 24

In a box of thirty AAA batteries, there are 3 defective batteries. Two batteries are randomly selected and tested. What is the probability that one is good and the other is defective if the first one is not replaced after being tested?

0.0207

0.0321

0.1862

0.0655

1/2

1/4

1/3

2/3

Explanation / Answer

Question 5

When two dice are rolled the probability of the getting a sum of eight and both dice show the same number is 1/36.

True , because this wil happen only when both the dies show 4,4 on them as we need a sum of eight and both the numbers should be equal. Also the sample space in this case is 6*6 = 36 , hence the probability is 1/36

False

4 points

Question 6

When a single die is rolled, the probability of getting a seven is 1/6.

True ,

False # a die has numbers from 1 to 7 , there is no 7 . Hence the probability of getting a 7 when a single die is rolled is zero

4 points

Question 7

What is the probability to get a tail when tossing a single coin?

1/2

1/4

1/3

2/3

, we can either get a head or a tail in fair unbiased coin toss. hence the probability of getting a tail is 1/2, hence the answer is 1/2 (A)

4 points

Question 8

A box contains 9 red marbles, 8 green marbles and 4 white marbles. If a marble is selected at random, what is the probability that it is not white?

8/21

17/21

4/21

13/21

9 red marbles, 8 green marbles and 4 white marbles ,

so lets calculate probability of getting a white first which is 4/(9+8+4) = 4/21

so probability of not getting a white is

1-4/21 = 17/21 , hence B .(Remember probability cant be greater than 1 )

Please note that we can answer only 4 multiple choice questions at a time , as per the answering guidelines

1/2

1/4

1/3

2/3

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