a skating rink attendant monitored the number of injuries at the rink over the past year. he tracked the…

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 minors 3 7 adults 4 3 what is the probability that a randomly selected injured skater was wearing roller skates given that the injured skater was an adult? simplify any fractions.

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 minors 3 7 adults 4 3 what is the probability that a randomly selected injured skater was wearing roller skates given that the injured skater was an adult? simplify any fractions.

Answer

Explanation:

Step1: Calculate total number of adult injured skaters

Add the number of adults wearing in - line skates and roller skates. $4 + 3=7$

Step2: Calculate number of adult injured skaters wearing roller skates

The number of adult injured skaters wearing roller skates is 3.

Step3: Calculate the conditional probability

The formula for conditional probability $P(A|B)=\frac{P(A\cap B)}{P(B)}$. In this case, the probability that a skater was wearing roller skates given that the skater was an adult is the number of adult roller - skate injured skaters divided by the total number of adult injured skaters. So the probability is $\frac{3}{7}$.

Answer:

$\frac{3}{7}$