4)
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a)
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b)
Required probability =
c)
Required probability =
Five cards are drawn from a standard 52-card playing deck. A gambler has been dealt five...
Problem 6 Five cards are dealt from a standard 52-card deck. Note that there are 13 kind of cards and each kind has 4 cards in a standard deck. (a) How many ways that one can draw 3 aces and 2 kings? (0.5 point (b) How many ways that one can draw a full house (3 cards of one kind, 2 cards of another kind)? (0.5 point)
You are dealt two playing cards from a shuffled 52-card deck. Per usual, this deck contains 4 aces. What is the probability that both of your cards are aces?
14. Suppose two cards are drawn at random from a 52-card deck of playing cards without replacement. What is the probability the second card is an ace given that the first card is a king (6) 15. Suppose the snake bite fatality rate in India is o.15. If two people in India are bitten by a snake and selected at random, (A) a) What is the probability both people will die? b) What is the probability that exactly person will...
A hand of 5 cards is dealt from a deck of 52 playing cards. What is the probability that the hand contains: a) two spades and two hearts b) two aces and a spade c) at least two spades
Five cards are drawn from a standard 52 playing card deck. Find the probability of: a) Straight (5 consecutive enumeration) b) Flush (5 cards of the same suit) c) Exactly two pair d) Exactly 3 of a kind e) A full house (three of a kind and a pair)
Suppose you are dealt six cards from a well-shuffled standard playing deck (there are 13 kinds, and four of each kind, in the standard 52 card deck). (a) What is the probability of receiving 3 aces and 3 kings? (b) What is the probability of receiving 3 of one kind and 3 of another? (c) What is the probability of receiving 4 aces and 2 kings?(d) What is the probability of receiving 4 of one kind and 2 of another?
Two cards are dealt from a standard deck of playing cards (52 cards, no jokers). The cards are not replaced after they are dealt. c) The probability that the first and second cards are both kings? P(K and K) = d) The probability that the first card is a club P(♣) = e) If the first card is a club, the probability that the second card will be a spade P(♠|♣) =
5. In a poker game, 5 cards are dealt from a standard 52 card deck that has been well shuffled. You are the only player in this scenario. (Note: if you are not familiar with poker hands, you may want to look up what some of these are online-also check out Chapter 23 in the textbook.) a) How many 5 card hands are possible? b) What is the probability that you are dealt two pairs? c) What is the probability...
5. Suppose a deck of 52 cards is shuffled and the top two cards are dealt. a) How many ordered pairs of cards could possibly result as outcomes? Assuming each of these pairs has the same chance, calculate: b) the chance that the first card is an ace; c) the chance that the second card is an ace (explain your answer by a symmetry argument as well as by counting); d) the chance that both cards are aces; e) the...
You are dealt two cards successively without replacement from a standard deck of 52 playing cards. Find the probability that both cards are black.