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|3|2|\n|read minds|3|3|\nwhat is the probability that a randomly selected superhero can read minds given that the superhero is lazy?\nsimplify any fractions.

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|3|2|\n|read minds|3|3|\nwhat is the probability that a randomly selected superhero can read minds given that the superhero is lazy?\nsimplify any fractions.

Answer

Explanation:

Step1: Identify relevant values

We want $P(\text{read minds}|\text{lazy})$. The number of lazy superheroes who can read minds is 3, and the total number of lazy superheroes is $2 + 3=5$.

Step2: Apply conditional - probability formula

The formula for conditional probability is $P(A|B)=\frac{P(A\cap B)}{P(B)}$. In terms of counts, $P(\text{read minds}|\text{lazy})=\frac{\text{Number of lazy and read - minds}}{\text{Number of lazy}}$. So $P(\text{read minds}|\text{lazy})=\frac{3}{5}$.

Answer:

$\frac{3}{5}$