kenny joined a book club to spend more quality time with his cousin. at the first meeting, club members…
kenny joined a book club to spend more quality time with his cousin. at the first meeting, club members recorded how many hours a week they typically read and whether they preferred e - readers or paperback books. e - readers paperback books about 1 hour per week 3 4 about 3 hours per week 5 5 what is the probability that a randomly selected club member prefers paperback books given that the club member reads about 1 hour per week? simplify any fractions.
Answer
Explanation:
Step1: Identify relevant numbers
The number of members who read about 1 hour per week is (3 + 4=7). The number of members who read about 1 hour per week and prefer paperback books is 4.
Step2: Use conditional - probability formula
The formula for conditional probability (P(A|B)=\frac{P(A\cap B)}{P(B)}). In the case of frequency - based probability, if (A) is the event of preferring paperback books and (B) is the event of reading about 1 hour per week, then (P(A|B)=\frac{\text{Number of members in }A\cap B}{\text{Number of members in }B}). So the probability is (\frac{4}{7}).
Answer:
(\frac{4}{7})