Let us play with 10-sided dice, numbered from 1-10. Note that these are fair dice. Please write answers to at most 3 decimal places and without extra zeros, e.g., 0.5 should not be entered as 0.50.

a) What is the probability of rolling a number greater than 7?

b) What is the probability of rolling a number greater than 8, then rolling an odd number?

c) If four dice are rolled together, what is the probability of exactly two dice rolling 8 or higher?

d) If five dice are rolled together, what is the probability at least two dice rolling 8 or higher?

e) Rolling one dice multiple times, what is the probability of rolling 8 or higher for the first time on the third roll?