one out of 42 high school ball players plays college ball. one out of 47 college players plays professional ball. what fraction of high school players professional ball?
independent probabilities
(1/42)(1/47)
To find the fraction of high school players who play professional ball, we need to combine the information given regarding the percentage of high school players who move on to college ball and the percentage of college players who make it to the professional level. Let's break down the problem step by step:
Step 1: Find the fraction of high school players who play college ball
From the information given, we know that 1 out of 42 high school ball players goes on to play college ball. So, the fraction of high school players who make it to college is 1/42.
Step 2: Find the fraction of college players who play professional ball
According to the given information, 1 out of 47 college players makes it to the professional level. Hence, the fraction of college players reaching the professional level is 1/47.
Step 3: Combine the fractions to find the fraction of high school players who play professional ball
To determine the fraction of high school players who play professional ball, we need to multiply the fractions obtained in Step 1 and Step 2 together.
(1/42) * (1/47) = 1/1974
Therefore, the fraction of high school players who play professional ball is 1/1974.