Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

If A is any event of a sample space S, then P (A) is a numerical value between -

ID: 3171295 • Letter: I

Question

If A is any event of a sample space S, then P (A) is a numerical value between -1 and 1.

True

False

Question 2 the sum of the probabilities for all outcomes of an experiment is equal to exactly one.

    True

    False

Question 3 Getting a face card and getting a seven are mutually exclusive

True

False

Question 4 Getting a club and getting a spade are mutually exclusive.

True

False

    Getting a jack and getting a queen are mutually exclusive.

True

False

Question 6 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

Question 7   When a single die is rolled, the probability of getting a seven is 1/6.

True

   False

Question 8 Event A and event C are independent. Given that P(A) = 0.5 , P(C) = 0.8 and P(A and C) = 0.13.

   True

False

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

                               

    1/2

                               

    1/4

                               

    1/3

                               

    2/3

Question 10 What are the odds in favor of drawing a card and getting a heart?

                               

    3:1

                               

    1:4

                               

    1:3

                               

    3:1

1 points

Question 11

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

                               

    4:1

                               

    1:3

                               

    1:4

                               

    3:1

Question 12 What are the odds against drawing a card and getting a king?

                               

    13:1

                               

    1:13

                               

    12:1

                               

    1:12

1 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

1 points

Question 14

    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

1 points

Question 15 In the two dice experiment, find the probability that the number o    he black die is larger than the number on the white die.

                               

    5/12

                               

    15/52

                               

    1/3

                               

    1/4

1 points

Question 16 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

Question 17 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

Explanation / Answer

If A is any event of a sample space S, then P (A) is a numerical value between -1 and 1. false

Question 2 the sum of the probabilities for all outcomes of an experiment is equal to exactly one. true

Question 3 Getting a face card and getting a seven are mutually exclusive true

Question 4 Getting a club and getting a spade are mutually exclusive. true

Getting a jack and getting a queen are mutually exclusive. true

Question 6 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

Question 7   When a single die is rolled, the probability of getting a seven is 1/6. true

Question 8 Event A and event C are independent. Given that P(A) = 0.5 , P(C) = 0.8 and P(A and C) false

as it should be 0.5*0.8 =0.4 cause they are independent

What is the probability to get a tail when tossing a single coin? =1/2

Question 10 What are the odds in favor of drawing a card and getting a heart? 1:3

What are the odds against drawing a card and getting a heart? 3:1

Question 12 What are the odds against drawing a card and getting a king? 12:1

If the odds in favor of an event occurring are 7 to 9 (7:9), find the probability against the event occurring. =9:16

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? =17/21

Question 15 In the two dice experiment, find the probability that the number o    he black die is larger than the number on the white die. 15/36=5/12

Question 16 A single die is rolled. What is the probability that the number on top is no greater than 4? =4/6=2/3

Question 17 A card is drawn at random from an ordinary deck of playing cards. What is the probability of getting a black jack? =2/52=1/26