Multiple choice

Two fair die are thrown. The probability the sum of the numbers appearing is 6 is

  1. $\dfrac {1}{6}$
  2. $\dfrac {5}{6}$
  3. $\dfrac {1}{36}$
  4. $\dfrac {5}{36}$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The total number of outcomes when rolling two dice is 6 * 6 = 36. The outcomes that sum to 6 are (1,5), (2,4), (3,3), (4,2), and (5,1), which totals 5 outcomes. Thus, the probability is 5/36.

AI explanation

When two fair dice are thrown, the total number of possible outcomes is 6 multiplied by 6, giving 36 combinations. The favorable outcomes for obtaining a sum of 6 are (1, 5), (2, 4), (3, 3), (4, 2) and (5, 1), which totals 5 combinations. The probability is the number of favorable outcomes divided by the total outcomes, giving 5 divided by 36. The probability that the sum of the numbers appearing is 6 is 5/36.

Keep practicing — related questions