Multiple choice

Four dice are rolled. The number of possible out comes in which atleast one die shows $2$ is

  1. $1296$
  2. $625$
  3. $615$
  4. $671$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total outcomes = 6^4 = 1296. Outcomes with no 2 = 5^4 = 625. Outcomes with at least one 2 = 1296 - 625 = 671.

AI explanation

When four dice are rolled, the total number of possible outcomes is 6^4 = 1296. To find the outcomes where at least one die shows 2, we use the complement method by calculating the outcomes where no die shows 2. The number of outcomes where no die shows 2 is 5^4 = 625. Therefore, the required number of outcomes is 1296 - 625 = 671.

Keep practicing — related questions