the students in a creative writing class were asked to write a short story about a superhero. the instructor…
the students in a creative writing class were asked to write a short story about a superhero. the instructor told the students to choose a superpower and a personality flaw from among the options provided. this table shows the students choices.\n| |forgetful| lazy|\n|----|----|----|\n|fly|2|4|\n|read minds|3|7|\nwhat is the probability that a randomly selected superhero can fly given that the superhero is forgetful?\nsimplify any fractions.
Answer
Explanation:
Step1: Identify relevant values
The number of forgetful superheroes that can fly is 2, and the total number of forgetful superheroes is (2 + 3=5).
Step2: Calculate 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 that a superhero can fly and (B) is the event that a superhero is forgetful, then (P(A|B)=\frac{n(A\cap B)}{n(B)}). Here, (n(A\cap B) = 2) (number of forgetful - flying superheroes) and (n(B)=5) (total number of forgetful superheroes). So the probability is (\frac{2}{5}).
Answer:
(\frac{2}{5})