Question

From a pack of 52 cards, two cards are drawn at random. The probability that one is an ace and the other is a king is _____.

• A. 1/13
• B. 1/169
• C. 8/663
• D. 28/663

Answer 1

The correct option is C 8/663

Probability shows the relationship between two variables in the form of ratio, percentage or proportion where there the chances of occurrence of one variable is expressed in terms of the other variable which is usually sample space.

The sample space for the event is ⁵²C₂ = 1326

Let the required event be E ( getting one ace and one king)

n(E) = 4x4 = 16

Therefore, P(getting one ace and one king) = n(E)/S

= 16/1326

= 8/663