Question

Two cards are drawn from a well-shuffled deck of 52 playing cards with replacement. The probability, that both cards are queens, is ______.

Options

• `1/13 xx 1/13`

• `1/13 xx 1/13`

• `1/13 xx 1/17`

• `1/13 xx 4/51`

Answer 1

Two cards are drawn from a well-shuffled deck of 52 playing cards with replacement. The probability, that both cards are queens, is `1/13 xx 1/13`.

Explanation:

Probability of getting Queen = `4/52`

So, the required probability 

= P(Queen).P(Queen)

= `4/52*4/52`

= `1/13*1/13`  ....(With replacement)