Are the following statements true or false?
(a) An unfair coin, for which the probabilities of a head and a tail are different, is tossed seven times. The probability of getting three heads and four tails cannot be the same as the probability of getting four heads and three tails.
(b) A fair die is rolled. The probability that a 6 is not obtained until the eighth roll is 78,125/1.679,616.
(c) A fair coin is tossed. The probability that the fourth head occurs on the seventh toss is 5/32.
(d) The proportion of heads in 16 tosses of a fair coin has a standard deviation 1/8.