Question

The chances of picking up a jack and a queen simultaneously from a pack of 52 cards is

Answer 1

Considering a without replacement condition, if two cards are drawn together from a pack of 52 cards, then to calculate the probability of picking up a queen and a jack,

Let S be the sample space.

Then, n(S) = 52C2 = 26×51 = 1326.

Let E = event of getting a queen and a jack

n(E) = number of ways of choosing a jack out of 4 and a queen out of 4

= 4C1 × 4C1

= 4×4

= 16

Hence, P(E) = 16 / 1326

 = 8 / 663 = 0.01207