Question

Two cards will be dealt off the top of a well-shuffled deck. You have a choice:

i. To win $1 if the first is a king.
ii. To win $1 if the first is a king and the second is a queen.

Which option is better? Or are they equivalent? Explain briefly.

Answer 1

i. is the better option.

Explanation:

The probability first is a King = 4/52 = 1/13.

The probability second is a Queen = 4/51.

The probability first is a King and second is a Queen = 1/13 *4/51 = 4/663.

So there is a much betert chance to bet just that the first one is a King