An archer is able to hit the bull's-eye 47% of the time. If she shoots 6 arrows, what is the probability that she gets exactly 4 bull's-eyes? Assume each shot is independent of the others.

Answer 1

.47^4 = about .049 = about 4.9 % of the time

47% is slightly less than 1/2 the time

(1/2)^4 = 1/16 = about 6.3%.