At a business school in London, a student club distributes material about membership to new students attending an orientation meeting. Of those receiving this material 66% were women and 42% were men. Subsequently, it was found that 10% of the women and 8% of the men who received this material joined the club.

a. What is the probability that a randomly chosen new student who receives the membership material will join the club?

b. What is the probability that a randomly chosen new student who joins the club after receiving the membership material is a woman?