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?
here as there are 13 cards of hearts out of total 52 cards ; and each card has equal chance to be on top
therefore chance that the top card is a heart =13/52 =1/4
If fourteen cards are dealt from the top of a well shuffled deck of cards one...
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...
3. Three cards are dealt without replacement, from a well shuffled deck. In answering the following, round your answer to the nearest hundredth of a percent. (a) Find the chance that all of the cards are aces. (b) Find the chance that none of the cards are aces. (c) Find the chance that the cards are not all aces.
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.
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?
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?
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
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)?
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
Suppose a deck of 52 cards is shuffled and the top two cards are dealt. 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); please answer question C based on B in detail. Better to write down the answer step by step, thank you
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?