quantskillsgmat wrote:Q Laura has a deck of card with 13 of the 52 cards designated as heart. If she shuffles thouroughly and then deals 10 cards off the top of the deck, what is probability that 10th card dealt is a heart.
a)1/4 b)1/5 c)5/26 d)12/42 e)13/42
should it be 13/42 or 1/4.ans is 1/4
P(heart on the Nth pick) = P(heart on the FIRST pick).
In other words, the probability of selecting a heart ON ANY GIVEN PICK is equal to the probability of selecting a heart on the FIRST PICK:
P(heart on ANY GIVEN PICK) = P(heart on the first pick) = 13/52 = 1/4.
Thus:
P(heart on the SECOND pick) = 1/4.
P(heart on the THIRD pick) = 1/4.
P(heart on the FOURTH pick) = 1/4.
And so on.
Thus, P(heart on the TENTH pick) = 1/4.
The correct answer is
A.
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