Multiple choice

A card is drawn is from pack of 52 cards. Find the probability of drawing card which is neither $2$ nor $3$ .

  1. $\dfrac{9}{13}$
  2. $\dfrac{10}{13}$
  3. $\dfrac{11}{13}$
  4. $\dfrac{12}{13}$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

There are 4 twos and 4 threes in a deck, totaling 8 cards. The probability of drawing a 2 or 3 is 8/52 = 2/13. The probability of drawing neither is 1 - 2/13 = 11/13.

AI explanation

Using the complementary probability method, the probability of drawing neither a 2 nor a 3 is 1 minus the probability of drawing a 2 or a 3. In a 52 card deck, there are four 2s and four 3s, making 8 favorable cards for the excluded event, so the probability of drawing a 2 or a 3 is 8 divided by 52. Therefore, the required probability is 1 minus 2 divided by 13, which equals 11 divided by 13.

Keep practicing — related questions