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?
2 cards from 52 cards can be selected in 52C2 ways
2 aces from 4 can be selected in 4C2 ways
Required probability = 4C2/52C2 = 6/1326 = 0.004525
You are dealt two playing cards from a shuffled 52-card deck. Per usual, this deck contains...
you are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards find the probability that both cards are black Express your answer as a simplified
you are dealt two cards successively(without Placement)from a shuffled deck of 52 playing cards .find the probability that both cards are black .express your answer as a simplified fraction.
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?
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.
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?
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...
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
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
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(♠|♣) =
Find the indicated probability. You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards. Find the probability that both cards are black. Express your answer as a simplified fraction.