Question

A paint-store chain produces and sells LaTeX and semigloss paint. Based on long-range sales, the probability that a customer will purchase latex pain is 0.75. Of those that purchase latex paint, 60% also purchase rollers. But only 30% of semigloss paint buyers purchase rollers. A randomly selected buyer purchases a roller and a can of paint. What is the probability that the pain is latex? Select one: a. 6/7 O b. 1/6 C. 1/7 © d. 5/6

Answer 1

Soli Given, . A paint store chain produres and sells LaTeX and semiglos paint. The probability that a customer will purchase laten is 0.15 of those laten purchares, 60.1. also purchase roller But only 30% of senüglors paint buyers purchose roller randomly selected buyer purchases a roller and a con of paint- APP Probability that the point is laten. P(purchases only laten) & PC laten and solles) = 0.75 P( laten punt and roller) = (0.6) (0.15)= 0.45= 45 Because of laten puschase 60). also purchare rolle OO 100 P(purchases only laten) = 0.15-0.45 0.30 : 3 P( purchases only senglars) + P( semiglors and roller) 0.25 PC semiglose and collar) = (0.3) (0,25) = 0.075 Because only 30% of semiglos point buyer buy roller 0.25-0.075 0.175. Pl only semigloss) =

that the Probability point is laten point P(only laten) = P(purchases later and P (puschone semiglons and roller a or roller) purchases later and roller) 1875 = 0.45 (0.45 +0.075) 45 100 450+75 1000 45 IDO 525 525 1000 2x 1000 450 525 100 525 Probability that punt is laten is