CBSE Class 12 Math 2020 Delhi Set 1 Solved Paper

Question : 9

Total: 36

A card is picked at random from a pack of 52 playing cards. Given that the picked card is a queen, the probability of this card to be a card of spade is

‌
1
3
‌
4
13
‌
1
4
‌
1
2

Solution: 👈: Video Solution

Let event A= Picked card is a queen. and event B= card of spade is picked.
P(A)=‌

,P(B)=‌

and, P(A∩B)=‌

[∵A∩B= Queen of spade ]
Now, required probability,
P(B∕A)=‌

P(A∩B)

P(A)

=‌

1∕52

4∕52

=‌

∴ Option (c) is correct.

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