2. Suppose a firm makes couches in four different styles and three different fab

Question

2. Suppose a firm makes couches in four different styles and three different fabrics. Use the table to calculate the probability that a couch picked at random will be made from fabric 1. If the couch is style 1, hat is the probability that it will be made from fabric 2? What is the probability that a couch of style 4 couch? will be selected at random? If a couch is made from fabric 3, what is the probability that it is a style 3 Fabric F2 Style S1 F1 150 120 80 110 460 F3 100 70 85 110 365 Total 25 60 35 175 Total 1000

Explanation / Answer

1) Probability that couch picked up at random will be made of fabric 1=

Number of Fabric 1/(Total) = 460/1000 = 0.46

2) It is given that couch is style 1, probability it is made from fabric 2

P = (Number of couch in style 1 with fabric 2)/(Number of couch in style 1 with fabric 1 + Number of couch in style 1 with fabric 2 + Number of couch in style 1 with fabric 3)

=> 55/(305) = 0.18

3)

Style 4 selected at random = Number of style 4/1000 = 255/1000 = 0.255

4)

Style 3 couch and fabric 3 = 85

Number of fabric 3 = 365

Probability = 85/365 = 0.233

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