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 5 6 adults 8 6 seniors 12 13 what is the probability that a randomly selected injured skater was a senior given that the injured skater was wearing in - line skates? 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 5 6 adults 8 6 seniors 12 13 what is the probability that a randomly selected injured skater was a senior given that the injured skater was wearing in - line skates? simplify any fractions.

Answer

Explanation:

Step1: Identify relevant numbers

We want the probability of a senior given in - line skates. The number of seniors wearing in - line skates is 12, and the total number of people wearing in - line skates is (5 + 8+12=25).

Step2: Calculate the conditional probability

The formula for conditional probability (P(A|B)=\frac{P(A\cap B)}{P(B)}). In terms of counts, if (A) is the event of being a senior and (B) is the event of wearing in - line skates, the probability is (\frac{\text{Number of seniors wearing in - line skates}}{\text{Total number of people wearing in - line skates}}). So the probability is (\frac{12}{25}).

Answer:

(\frac{12}{25})