abdul entered his sister into their towns smelly shoe competition. abdul observed contestants of all ages…
abdul entered his sister into their towns smelly shoe competition. abdul observed contestants of all ages proudly strutting around wearing different kinds of smelly shoes.\n| |tennis shoes|high heels|\n|--|--|--|\n|under 18|6|5|\n|18 or older|3|2|\nwhat is the probability that a randomly selected contestant is under 18 given that the contestant is wearing tennis shoes?\nsimplify any fractions.
Answer
Explanation:
Step1: Calculate total tennis - shoe wearers
The number of contestants wearing tennis shoes is (6 + 3=9).
Step2: Calculate number of under - 18 tennis - shoe wearers
The number of under - 18 contestants wearing tennis shoes is 6.
Step3: Apply conditional probability formula
The conditional probability (P(A|B)=\frac{P(A\cap B)}{P(B)}). In this case, (A) is the event of being under 18 and (B) is the event of wearing tennis shoes. So the probability that a contestant is under 18 given they are wearing tennis shoes is (\frac{6}{9}=\frac{2}{3}).
Answer:
(\frac{2}{3})