Five cards—the ten, jack, queen, king and ace of diamonds, are well-shuffled with their
face downwards. One card is then picked up at random. If the queen is drawn and put aside, the probability that the second card picked up is an ace is

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0.15

0.35

0.25

answer is C.

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Detailed Solution

The probability that the second card picked up is an ace is 0.25.
It is given Five cards—the ten, jack, queen, king and ace of diamonds, are well-shuffled with their face downwards.
The probability of an event E is given as-

P (E) = N u m b e r o f o u t c o m e s f a v o u r a b l e t o E N u m b e r o f a l l p o s s i b l e o u t c o m e s o f t h e e x p e r i m e n t

Given that, a queen is drawn and put aside then there will be 4 cards remaining- the ten, jack, king and ace of diamonds.
So, total number of possible outcomes = 4.
Total number of aces = 1
Number of favorable outcomes = 1

Therefore, 0.25 is the required probability of finding an ace.
Hence option (3) is correct.

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