Multiple choice

A dice is rolled two times. Find the probability of getting a composite number on first roll and a prime number on second roll?

  1. 1/2

  2. 1/6

  3. 1/9

  4. 1/4
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B Correct answer
Explanation

Composite numbers on a die: 4, 6 (2 outcomes). Prime numbers: 2, 3, 5 (3 outcomes). Probability = (2/6) * (3/6) = (1/3) * (1/2) = 1/6.

AI explanation

A standard die has the composite numbers 4 and 6, giving a probability of 2/6 = 1/3 for the first roll. The prime numbers on a die are 2, 3, and 5, giving a probability of 3/6 = 1/2 for the second roll. Multiplying these independent probabilities gives 1/3 × 1/2 = 1/6.

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