Question

A group of college DJs surveyed students to find out what music to plan for their upcoming parties. Thirty percent of the students preferred dubstep, 25% of the students liked trance music, and 20% wanted to hear only house music. Fifteen percent of the respondents selected both dubstep and trance.

(A) Define event A = {a student likes dubstep} and event B = {a student likes trance music}. What are the values of P(A) and P(B)?
(B) Describe what P(A | B) means in the context of this problem (i.e., what probability are we looking for?).
(C) Determine the value of P(A | B).

A group of 30 students went on a camping trip. Of these, 12 return with both sunburns and insect bites, and 20 report sunburn. Only three students suffered neither.

(A) Construct a Venn diagram and enter the counts for each section.
(B) Using your Venn diagram, how many suffered only insect bites?

Answer 1