A standard deck of playing cards has 52 cards, consisting of 13 \"ranks\" (2, 3,

Question

A standard deck of playing cards has 52 cards, consisting of 13 "ranks" (2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, ace) of each of the 4 "suits" (hearts, diamonds, spades, clubs). In the game of poker each player is dealt a set of cards which is called the players "hand". If five cards are dealt to a poker player it is called a "5-card poker hand" Pete is a poker player. He's just been dealt a 5-card poker hand. Here are some possible events. A He has 3 queens. B = He has 4 kings. C = He has a full house (a hand with three cards of one rank and two of a second rank) D He has at least one spade. E = He has 2 jacks Answer the following questions Which of the following sets of events are mutually exclusive? (Select all that apply.) events A and B events A and C events B and D events A andE None of these, 5-card poker hands can never have mutually exclusive events. Which of the following sets of events are independent? (Select all that apply.) events A and B events A and C events B and D events A and E None of these, 5-card poker hands can never have independent events. Which of the following sets of events are neither mutually exclusive nor independent? (Select all that apply.) events A and B events A and C events B and D events A and E None of these, 5-card poker hands can never have events which are neither mutually exclusive nor independent

Explanation / Answer

1) Option A: Events A and B are mutually exclusive. It is not possible to have 3 queens and 4 kings at the same time as he is dealt only 5 cards

2) Option E, none of these as any event affects the probability of the other event. The number of cards in the deck changes once an event occurs and therefore affects the probability of the another event.

3) Option E, none of these

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