B) If Angel rolls a fair die, what is the probability that it never comes up an even number when it is rolled six times?

The probability of rolling an even number on a fair six-sided die is 1/2, because three of the six outcomes (2, 4, and 6) are even numbers.

The probability of not rolling an even number (i.e., rolling an odd number) is also 1/2, because the other three outcomes (1, 3, and 5) are odd numbers.

If Angel rolls the die six times, the probability that it never comes up an even number on any of the rolls is (1/2)^6 = 1/64.

This is because each roll is an independent event, so the probabilities multiply. The probability of not rolling an even number on one roll is 1/2, so the probability of not rolling an even number on six rolls is (1/2)^6.