Multiple choice

Two dice are rolled and the product of the outcomes (numbers) are found. What is the probability that the product so found is a prime number?

  1. $\dfrac{1}{7}$  
  2. $\dfrac{1}{6}$  
  3. $\dfrac{5}{6}$  

  4. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

There are 36 possible outcomes when rolling two dice. The products that are prime numbers are (1,2), (2,1), (1,3), (3,1), (1,5), and (5,1). There are 6 such outcomes, so the probability is 6/36 = 1/6.

AI explanation

When two dice are rolled, the total number of outcomes in the sample space is 36. For the product of the two numbers to be a prime number, one die must show a 1 and the other must show a prime number from the set of 2, 3, and 5. This gives the six favorable outcomes of (1, 2), (2, 1), (1, 3), (3, 1), (1, 5), and (5, 1). The probability is 6/36, which simplifies to 1/6.

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