Multiple choice

Two dice are tossed. What is the probability that neither die is a $4$?

  1. $1/6$
  2. $1/3$
  3. $2/3$
  4. $25/36$
  5. $5/6$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The probability of not rolling a 4 on one die is 5/6. Since the dice are independent, the probability of neither being a 4 is (5/6) * (5/6) = 25/36.

AI explanation

When two dice are tossed, the total number of possible outcomes is 6 * 6 = 36. For neither die to be a 4, the first die must be one of 5 numbers (1, 2, 3, 5, 6) and the second die must also be one of those 5 numbers, giving 5 * 5 = 25 favorable outcomes. By the classical probability formula, the probability is 25 / 36.

Keep practicing — related questions