Multiple choice

Two cards are drawn randomly from a pack of 52 cards. What is the probability of getting one spade card and one diamond card?

  1. 13/51

  2. 1/2

  3. 1/4

  4. 13/102

  5. 13/34
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The total number of ways to draw 2 cards from 52 is 52C2 = 1326. The number of ways to choose 1 spade out of 13 and 1 diamond out of 13 is 13 * 13 = 169. The probability is 169 / 1326, which simplifies to 13/102.

AI explanation

Using the classical definition of probability, the total number of ways to draw two cards from 52 is 52C2, which equals 1326. The number of ways to choose one spade from 13 and one diamond from 13 is 13C1 times 13C1, giving 169. The probability is 169/1326, which simplifies by dividing the numerator and denominator by 13 to equal 13/102.

Keep practicing — related questions