A fair die is thrown eight times. Calculate the probability that (a) a 6 occurs six times (b) a 6 never occurs (c) an odd number of 6s is thrown. A fair coin is tossed five times. Calculate the...

A fair die is thrown eight times. Calculate the probability that (a) a 6 occurs six times (b) a 6 never occurs (c) an odd number of 6s is thrown.

A fair coin is tossed five times. Calculate the probability that  (a) five heads are obtained (b) four heads are obtained  (c) three heads are obtained (d) two heads are obtained (e) one head is obtained.