P=0.8*0.8*0.2*0.2 This is 1, and the probability of the second 3 or 4 misses.
There are six other categories that won the prize twice.
p = 0.8 * 0.8 * 0.2 * 0.2 * 6 = 0. 1536
2) The probability of all misses is 0.2*0.2*0.2*0.2.
At least one hit p =1-0.2 * 0.2 * 0.2 * 0.2 = 0.9984.