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?
Suppose you are dealt six cards from a well-shuffled standard playing deck (there are 13 kinds,...
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?
11 (6 points). A 5-card hand is dealt from a well-shuffled deck of 52 playing cards. What is the probability that the hand contains at least one card from each of the four suits?
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)
A card player is dealt a 13 card hand from a well-shuffled, standard deck of 52 cards. What is the probability that the hand is void in at least one suit (“void in a suit” means having no cards of that suit)?
#3 We draw the top 8 cards from a well-shuffled standard 52-card deck. nd the probability that: (a) The 8 cards include exactly 3 aces. (b) The 8 cards include exactly 2 kings. (c) The probability that the 8 cards include exactly 3 aces, or exactly 2 kings, or both. Fi
you are dealt 2 cards successively (without replacement) from a shuffled deck of 52 playing cards. Find the probability that the first card is a king and the second card is a queen.
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(♠|♣) =
A 5-card hand is dealt from a well-shuffled deck of playing cards. What is the probability of getting a hand with three cards of the same rank? What is the probability of getting a hand with two cards of the same rank? Please write as legibly as possible
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...
If fourteen cards are dealt from the top of a well shuffled deck of cards one after another without replacement, what is the chance that the top card is a heart?