find the probability of getting 5 heads and 7 tails in 12 flips of a balanced coin Solution heads. There\'s only one way to get all five heads: HHHHH. The probability of getting this is (1/2)(1/2)(1/2)(1/2)(1/2) = 1 / 2^5 = 1 / 32 There are five different ways to get exactly 4 heads: THHHH, HTHHH, HHTHH, HHHTH, HHHHT. The probability of getting any of these sequences is 1/32. So we have six different independent events that can give us what we want. So we add up the probabilities to get 6/32, which is 3/16..