one out of 43 high school ball players plays college ball.one out of 38 college players plays professional ball. what fraction of high school players plays professional ball?
One out of 42
high school ball players plays college ball. One out of 41
college players plays professional ball. What fraction of high school players plays professional​ ball?
To find the fraction of high school players who play professional ball, we need to multiply the probabilities of two events: playing college ball and playing professional ball.
Let's start with the fraction of high school ball players who play college ball. We know that one out of 43 high school ball players plays college ball. So the probability of playing college ball is 1/43.
Next, we need to find the fraction of college players who play professional ball. We are given that one out of 38 college players plays professional ball. Therefore, the probability of a college player playing professional ball is 1/38.
To find the fraction of high school players who play professional ball, multiply the probability of playing college ball by the probability of playing professional ball:
(1/43) * (1/38) = 1/1634
Hence, the fraction of high school players who play professional ball is 1/1634.