Question

Lizzie rolls two dice. What is the probability that one of the dice shows a 6 or the

the total sum of both dice is a prime number (or both)?

I really need the answer pls I have to submit this really quickly

Answer 1

The probability that one of the dice shows a 6 or the total sum of both dice is a prime number (or both) is 7/12.

Step-by-step explanation:

To find the probability that one of the dice shows a 6 or the total sum of both dice is a prime number (or both), we need to calculate the sum of the probabilities of these two events.

Event A: One of the dice shows a 6. There are 6 possible outcomes, and only 1 of them results in a 6. So the probability of event A is 1/6.

Event B: The total sum of both dice is a prime number. There are 36 possible outcomes when rolling two dice, and 15 of them result in a prime number sum (5 pairs: (2, 3), (2, 5), (3, 2), (3, 4), (5, 2)). So the probability of event B is 15/36, which simplifies to 5/12.

Since we're interested in the probability of event A OR event B, we can add the probabilities together: (1/6) + (5/12) = 7/12. Therefore, the probability that one of the dice shows a 6 or the total sum of both dice is a prime number (or both) is 7/12.