5. If you have a deck of cards and you choose two cards, what is the probability

Question

5. If you have a deck of cards and you choose two cards, what is the probability you choose: a. A queen then a heart, with replacement b. A 4 then an 8, with replacement c. Two kings without replacement d. A queen OR a heart on the first pick e. A jack OR a king on the first pick 6. State whether the following events are mutuallyexclusive.larop a. Event A: A person has type O blood; Event B: A person has type AB blood Event A: Drawing a king from a deck of cards; Event B: Drawing a club from the same deck of cards. b. Event A: Turning left: Event B: Scratching your head. c. 7. How many ways can you and 6 friends sit in a movie theatre. (2 points total)

Explanation / Answer

5)

a) p [A queen and then a heart] = (4/52) * (13/52) = 1/52 = 0.0192

b) p [4 then an 8] = (4/52) * (4/52) = 0.0059

c) p [two kings] = 4c2 / 52c2 = 0.0045

d) p [ a queen or a heart] = (4/52) + (13/52) - (1/52) = 0.3077

e) p [a jack or a king] = (4/52) + (4/52) = 0.1538

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