Question 1: I have a coin that is not necessarily a fair coin. I flip the coin t

Question

Question 1: I have a coin that is not necessarily a fair coin. I flip the coin twice and count the number of heads. Which of the following is a valid assignment of probabilities for the number of heads observed in two flips?

Use the following to answer questions 2-4:

Question 2:  If I pull one card at random from a well-shuffled deck of cards, what is the probability that I get a king? A) 1/4 B) 1/52 C) 8% D) 1/13

Question 3: TRUE or FALSE: When pulling a single card out of a well-shuffled deck, the events {Face card} and {Spade} are disjoint. A) true B) false, but only sometimes C) false D) irregular

Question 4: Let A = {getting a face card} and B = {getting a spade}. The probability that 'A or B' happens is A) 25/52 B) 22/52 C) 12/13 D) 12/52 or 13/52

Use the following to answer questions 5-7:

Question 5: A student is to be selected at random. The probability that the selected student is 18 to 24 years old is A) 0.623. B) 0.584. C) 0.608. D) 0.642.

Question 6: Given that the selected student is male, the conditional probability that he is 15 to 17 years old is A) 0.408. B) 0.008. C) 0.011. D) 0.009

Question 7: Find the probability that a randomly selected student is female given that the student is 35 years or older. A) 0.178 B) 0.500 C) 0.0998 D) 0.631

A) Number of heads2 1/4 2/4 1/4 B) Number ofleads0 Probability 1/3 1/3 1/3 C) Number of heads Probability 1/10 5/10 4/10 10 510 410 D) All of the above.

Explanation / Answer

Question 1: I have a coin that is not necessarily a fair coin. I flip the coin twice and count the number of heads. Which of the following is a valid assignment of probabilities for the number of heads observed in two flips?

Answer : A

H H
H T
T H
T T

P(0 heads) = 1/4

P(1 head) = 2/4

P(2 heads) = 1/4

Question 2:  If I pull one card at random from a well-shuffled deck of cards, what is the probability that I get a king? A) 1/4 B) 1/52 C) 8% D) 1/13

Question 3: TRUE or FALSE: When pulling a single card out of a well-shuffled deck, the events {Face card} and {Spade} are disjoint. A) true B) false, but only sometimes C) false D) irregular

Question 4: Let A = {getting a face card} and B = {getting a spade}. The probability that 'A or B' happens is A) 25/52 B) 22/52 C) 12/13 D) 12/52 or 13/52

Question 5: A student is to be selected at random. The probability that the selected student is 18 to 24 years old is A) 0.623. B) 0.584. C) 0.608. D) 0.642.

P=10365/16639

Question 6: Given that the selected student is male, the conditional probability that he is 15 to 17 years old is A) 0.408. B) 0.008. C) 0.011. D) 0.009

P=61/7317

Question 7: Find the probability that a randomly selected student is female given that the student is 35 years or older. A) 0.178 B) 0.500 C) 0.0998 D) 0.631

P=1660/2630

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