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A friend randomly chooses two cards, without replacement,
Chapter 3, Problem 7STE(choose chapter or problem)
Problem 7STE
A friend randomly chooses two cards, without replacement, from an ordinary deck of 52 playing cards. In each of the following situations, determine the conditional probability that both cards are aces.
(a) You ask your friend if one of the cards is the ace of spades, and your friend answers in the affirmative.
(b) You ask your friend if the first card selected is an ace, and your friend answers in the affirmative.
(c) You ask your friend if the second card selected is an ace, and your friend answers in the affirmative.
(d) You ask your friend if either of the cards selected is an acc, and your friend answers in the affirmative.
Questions & Answers
QUESTION:
Problem 7STE
A friend randomly chooses two cards, without replacement, from an ordinary deck of 52 playing cards. In each of the following situations, determine the conditional probability that both cards are aces.
(a) You ask your friend if one of the cards is the ace of spades, and your friend answers in the affirmative.
(b) You ask your friend if the first card selected is an ace, and your friend answers in the affirmative.
(c) You ask your friend if the second card selected is an ace, and your friend answers in the affirmative.
(d) You ask your friend if either of the cards selected is an acc, and your friend answers in the affirmative.
ANSWER:
Step 1 of 5
It is given that there are 52 cards in a deck of playing cards and a friend randomly chooses two cards without replacement.
Using this, under the given conditions we need to determine the conditional probability that both cards are aces.