If you ask 500 people, how many would you expect to play baseball?

Question

Suppose 48 out of every 120 people like baseball and of the people who like baseball, 3 out of 5 play baseball.

Answer 1

if 48 out of every 120 people like baseball that means that

48/120 = 0.40 is the proportion of people who like baseball

in a group of 500 people that means that

500 x 0.40 = 200 people like baseball

then out of those 200 people, we expect 3 out of every 5 to actually play baseball

200 x 3/5 = 120

meaning that the expected number of people who play baseball is 120

Answer 2

The progression of those who play baseball in the first example is (48/120)*(3/5) = .24

If 48(3/5) = 28.8 is the number of persons who play baseball. This is .24(120) = 28.8

So, if 500 persons are surveyed (.24)(500) = 120 would be expected to play baseball.