A drawer contains four black, six brown, and eight olivesocks. Two socks are sel

Question

A drawer contains four black, six brown, and eight olivesocks. Two socks are selected at random from thedrawer. a) Compute the probability that both socks are the samecolor b) Compute the probability that both socls are olive if it isknown that they are the same color. Thank you for your time! A drawer contains four black, six brown, and eight olivesocks. Two socks are selected at random from thedrawer. a) Compute the probability that both socks are the samecolor b) Compute the probability that both socls are olive if it isknown that they are the same color. Thank you for your time!

Explanation / Answer

a) P(both same color) = P(both black) + P(both brown) + P(botholive) = 4/18 * 3/17 + 6/18 * 5/17 + 8/18 * 7/17 = 49/153 =.3203 b) P(both olive | both same color) = P(both olive) / P(both samecolor) = [8/18 * 7/17] / [49/153] = 4/7 = .5714

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.