Q7.Find the probability of getting an even number on the first or a total of 8 in a single throw oftwo dice.

To solve this problem, we need to understand that these are two separate events: getting an even number on the first die and getting a total of 8 on both dice.

Step 1: Calculate the probability of getting an even number on the first die. There are 3 even numbers (2, 4, 6) on a die, and the total number of outcomes is 6. So, the probability is 3/6 = 0.5.

Step 2: Calculate the probability of getting a total of 8 on two dice. The pairs that sum to 8 are: (2,6), (3,5), (4,4), (5,3), (6,2). So there are 5 favorable outcomes. The total number of outcomes when throwing two dice is 6*6 = 36. So, the probability is 5/36.

Step 3: Since these are two separate events, we add the probabilities together to get the total probability. So, the total probability is 0.5 + 5/36 = 0.639 (rounded to three decimal places).