Question

One six-sided die and one sixteen-sided die are rolled. What is the probability of rolling an even number on the six-sided die and rolling a 16 on the other die?.

Answer 1

The probability of rolling an even number on the six-sided die and rolling a 16 on the other die is 1/30, since there is a 3/6 probability of rolling an even number on the six-sided die and a 1/16 probability of rolling a 16 on the sixteen-sided die.

Answer 2

The probability of rolling an even number on a six-sided die and a 16 on a sixteen-sided die is 1/32. This is found by multiplying the probability of each individual event (1/2 for an even number on the six-sided die and 1/16 for a 16 on the sixteen-sided die).

Step-by-step explanation:

The probability of rolling an even number on a six-sided die and rolling a 16 on a sixteen-sided die is determined by multiplying the probabilities of each individual event happening. For the six-sided die, the sample space is {1, 2, 3, 4, 5, 6}, and the even numbers are {2, 4, 6}, so there are three favorable outcomes. Hence, the probability of rolling an even number is 3/6 or 1/2. For the sixteen-sided die, there is only one favorable outcome, which is rolling a 16, so the probability of rolling a 16 is 1/16. Applying the product rule, we find the combined probability by multiplying these two probabilities: (1/2) x (1/16) = 1/32. Therefore, the probability of rolling an even number on the six-sided die and a 16 on the sixteen-sided die is 1/32.