Cards are drawn one after the other without replacement from a well shuffled pack of cards until and ace card appears. If the probability that exactly 5 cards are drawn before the first ace card appears is
is prime,
then
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Since the cards are drawn without replacement from a well shuffled pack of cards until an ace card appears. Then the probability that exactly 5 cards are drawn before the first ace card appears
Let required probability is
(given) where
is prime
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