Question

A skating rink attendant monitored the number of injuries at the rink over the past year. He tracked the ages of those injured and the kinds of skates worn during injury. In-line skates Roller skates 6 2 Age 8 Age 10 3 3 o What is the probability that a randomly selected injured skater was wearing roller skates given that the injured skater was age 10? Simplify any fractions

Answer 1

First of all, use the given table to determine the total of the sample:

In-like skates Roller skates

Age 8 6 2 8

Age 10 3 3 6

total 9 5 14

The required probability is given by the quotient in between the number of skater with roller skates and with age 10, over the total number of the sample, which is 14. There are 3 skaters with roller skates and age 10. Then, you have:

3/14

Hence, the probability is 3/14