Two dice are tossed. The probability that the total score is a prime number is:Choices:- 5/12 3/5 9/20 8/15

Sure, let's solve this step by step:

Step 1: Identify the total number of outcomes When two dice are thrown, the total number of outcomes is 6*6 = 36 (since a die has 6 faces).

Step 2: Identify the favorable outcomes The prime numbers between 2 and 12 (the minimum and maximum possible scores) are 2, 3, 5, 7, and 11. Let's find the number of ways to get each of these:

• For 2: There's only one way to get this (1 on the first die and 1 on the second). So, 1 way.
• For 3: There are two ways to get this (1 on the first die and 2 on the second, or 2 on the first and 1 on the second). So, 2 ways.
• For 5: There are four ways to get this (1 and 4, 4 and 1, 2 and 3, 3 and 2). So, 4 ways.
• For 7: There are six ways to get this (1 and 6, 6 and 1, 2 and 5, 5 and 2, 3 and 4, 4 and 3). So, 6 ways.
• For 11: There are two ways to get this (5 and 6, 6 and 5). So, 2 ways.

So, the total number of favorable outcomes is 1 + 2 + 4 + 6 + 2 = 15.

Step 3: Calculate the probability The probability of an event is the number of favorable outcomes divided by the total number of outcomes. So, the probability that the total score is a prime number is 15/36 = 5/12.

So, the correct answer is 5/12.