Multiple choice

Four die are rolled. The number of ways in which at least one die shows $2$ is

  1. $546$
  2. $671$
  3. $625$
  4. $1256$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total ways to roll 4 dice = 6^4 = 1296. Ways to roll NO 2s = 5^4 = 625. Ways to roll at least one 2 = 1296 - 625 = 671.

AI explanation

Using the complementary counting principle, we first find the total outcomes of rolling four dice, which is 6^4 = 1296. The number of outcomes where no die shows 2 is 5^4 = 625. Subtracting the outcomes with no 2s from the total outcomes gives 1296 - 625 = 671.

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