Multiple choice

Rosy and Mary play a game. They roll a dice each simultaneously. If both faces bear the same number, it is called a doublet. In three rolls of the pair of dice, what is the probability of getting a doublet at least once?

  1. 21/216

  2. 91/136

  3. 22/197

  4. 91/216

  5. 1/2

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Probability of a doublet in one roll = 6/36 = 1/6. Probability of no doublet in one roll = 5/6. Probability of no doublet in three rolls = (5/6)^3 = 125/216. Probability of at least one doublet = 1 - 125/216 = 91/216.

AI explanation

The probability of rolling a doublet with two dice in a single throw is 6/36, or 1/6. The probability of not getting a doublet in one throw is the complement, which is 5/6. For three independent rolls, the probability of getting no doublets at all is (5/6)^3 = 125/216, so the probability of getting at least one doublet is 1 - 125/216 = 91/216.