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Question : Determine whether the given events are mutually exclusive : 2151602

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Determine whether the given events are mutually exclusive.

1) Knowing Spanish and knowing Chinese

A) Yes

B) No

2) Wearing a coat and wearing a sweater

A) Yes

B) No

3) Obtaining a spade and obtaining an ace when a single card is selected from a deck of cards

A) Yes

B) No

4) Obtaining a face card and obtaining a two when a single card is selected from a deck of cards

A) No

B) Yes

5) Being a male and being a nurse

A) No

B) Yes

6) Being a teenager and being a United States Senator

A) Yes

B) No

7) Being over 30 and being in college

A) No

B) Yes

8) Having good reading skills and having good math skills

A) No

B) Yes

9) Going to the beach and staying home at 2 pm on your birthday

A) No

B) Yes

10) Getting an A in your statistics course and getting a B in your statistics course.

A) Yes

B) No

Find the indicated probability.

11) Find the probability that either a 6 or a 1 is obtained when a fair die is rolled.

A) (1/3)

B) (1/6)

C) 1

D) 2

12) Find the probability that a number less than 3 is obtained when a fair die is rolled.

A) (1/2)

B) (5/6)

C) 0

D) (1/3)

13) Two fair dice are rolled. What is the probability that a sum of 6 or 10 is obtained?

A) (4/9)

B) (1/60)

C) (2/9)

D) (4/3)

14) Find the probability that the sum is no more than 7 when two fair dice are rolled.

A) (5/9)

B) (23/36)

C) (7/12)

D) (2/9)

15) Find the probability that the sum is at least 11 when two fair dice are rolled.

A) (1/18)

B) (1/3)

C) (1/12)

D) (5/36)

16) Find the probability that the sum is either 8 or at most 3 when two fair dice are rolled.

A) (1/4)

B) (2/9)

C) (7/36)

D) (11/36)

17) When a single card is drawn from an ordinary 52-card deck, find the probability of getting a black 3 or a red 8.

A) (1/52)

B) (1/13)

C) (1/4)

D) (1/26)

18) A card is drawn from a well-shuffled deck of 52 cards. What is the probability of drawing an ace or a 9?

A) (13/2)

B) 10

C) (2/13)

D) (5/13)

19) A card is drawn from a well-shuffled deck of 52 cards. What is the probability of drawing a face card or a 3?

A) (48/52)

B) (4/13)

C) 16

D) (2/13)

20) Each digit from the number 6,787,557 is written on a different card. If one of these cards is selected at random, what is the probability of drawing a card that shows 6 or 5?

A) (6/7)

B) 1

C) (3/7)

D) (2/7)

21) When two balanced dice are rolled, there are 36 possible outcomes. Find the probability that either doubles are rolled or the sum of the dice is 10.

A) (1/36)

B) (2/9)

C) (7/36)

D) (1/4)

22) When two balanced dice are rolled, there are 36 possible outcomes. Find the probability that the second die is 4 or the sum of the dice is 7.

A) (11/36)

B) (5/18)

C) (1/36)

D) (1/3)

23) When two balanced dice are rolled, there are 36 possible outcomes. Find the probability that the first die is 3 or that doubles are rolled.

A) (5/18)

B) (11/36)

C) (1/3)

D) (1/36)

24) A lottery game has balls numbered 1 through 15. If a ball is selected at random, what is the probability of obtaining an even numbered ball or the number 4 ball?

A) 7

B) (15/4)

C) (4/15)

D) (7/15)

25) A spinner has regions numbered 1 through 15. What is the probability that the spinner will stop on an even number or a multiple of 3?

A) 12

B) (7/9)

C) (2/3)

D) (1/3)

26) A card is drawn from a well-shuffled deck of 52 cards. What is the probability of obtaining a club or a 7?

A) (2/13)

B) (17/52)

C) (4/13)

D) (1/13)

27) A card is drawn from a well-shuffled deck of 52 cards. What is the probability of obtaining a diamond or a card smaller than 5? [Assume that ace is low]

A) (11/26)

B) (1/13)

C) (29/52)

D) (25/52)

28) If you pick a card at random from a well shuffled deck, what is the probability that you get a face card or a spade?

A) (9/26)

B) (25/52)

C) (1/22)

D) (11/26)

29) Of the 81 people who answered "yes" to a question, 9 were male. Of the 99 people who answered "no" to the question, 13 were male. If one person is selected at random from the group, what is the probability that the person answered "yes" or was male?

A) 0.122

B) 0.572

C) 0.111

D) 0.522