malik entered his sister into their towns smelly shoe competition. malik observed contestants of all ages…
malik entered his sister into their towns smelly shoe competition. malik observed contestants of all ages proudly strutting around wearing different kinds of smelly shoes.\n| |tennis shoes|high heels|\n|--|--|--|\n|under 18|2|1|\n|18 or older|5|2|\nwhat is the probability that a randomly selected contestant is wearing tennis shoes given that the contestant is under 18?\nsimplify any fractions.
Answer
Explanation:
Step1: Recall conditional - probability formula
The formula for conditional probability is $P(A|B)=\frac{P(A\cap B)}{P(B)}$. In the context of a two - way table, if $A$ is the event of wearing tennis shoes and $B$ is the event of being under 18, then $P(A|B)=\frac{\text{Number of under - 18 wearing tennis shoes}}{\text{Total number of under - 18 contestants}}$.
Step2: Identify relevant numbers from the table
The number of under - 18 contestants wearing tennis shoes is 2, and the total number of under - 18 contestants is $2 + 1=3$.
Answer:
$\frac{2}{3}$