Question

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

Options

• `1/3`

• `4/13`

• `1/4`

• `1/2`

Answer 1

A card is picked at random from a pack of 52 playing cards. Given that the ptcked card is a queen, the probability of this card to be a card of spade is `underlinebb(1/4)`.

Explanation:

`P(A//B) = (P(A ∩ B))/(P(B))`

where, A: The card is spade

B: The picked card is queen

⇒ `P(A//B) = (1/52)/(4/52)`

= `1/4`