Shooting range A marksman in a shooting range is able to hit a plate 70% of the time. Assume each shot is independent of the others. If the marksman shoots 5 times, what is the probability of each of the following results?

a) The marksman’s first hit comes on the second shot.

b) The marksman misses at least one plate.

c) The marksman’s first hit comes on the third or fourth shot.

d) The marksman hits exactly three times.

e) The marksman hits at least three times.

f) The marksman hits at most three times.