Multiple choice

The probability of getting at least a single $'1'$ when two dice are rolled is

  1. $\displaystyle \frac{11}{36}$
  2. $\displaystyle \frac{25}{36}$
  3. $\displaystyle \frac{1}{6}$
  4. $\displaystyle \frac{1}{8}$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Probability of not getting a 1 on one die is 5/6. Probability of not getting a 1 on two dice is (5/6)^2 = 25/36. Probability of at least one 1 is 1 - 25/36 = 11/36.

AI explanation

Using the complementary event method, the total number of outcomes when rolling two dice is 6 multiplied by 6, or 36. The number of outcomes where neither die shows a 1 is 5 multiplied by 5, resulting in 25 outcomes. The probability of getting at least a single 1 is 1 minus the probability of getting no 1s, which is 1 minus 25/36, equaling 11/36. The probability is 11/36.

Keep practicing — related questions