Question

You throw one die two ×. What is the probability the second throw has a different face value than the first?

a) 1/6
b) 1/3
c) 1/2
d) 2/3

Answer 1

The probability that the second throw of a die has a different face value than the first is 5/6 or approximately 0.8333.

Step-by-step explanation:

To find the probability that the second throw of a die has a different face value than the first, we need to find the total number of possible outcomes and the number of favorable outcomes. When throwing a die twice, the sample space consists of 36 outcomes (6 outcomes for the first throw multiplied by 6 outcomes for the second throw).

If we want the second throw to have a different face value than the first, there are 30 favorable outcomes. For example, if the first throw is a 1, then the second throw can be any number from 2 to 6. Therefore, the probability is calculated by dividing the number of favorable outcomes (30) by the total number of outcomes (36), giving us a probability of 5/6 or approximately 0.8333.