1. ## probability

Hi My name is Angela. Can anyone help me figure out how to do this problem. I don't know where to begin.

An automobile has three factories. A, B, and C. They produce 50%, 30%, and 20% respectively of a specific model of car. 10% of the cars produced in factory A are white, 38% in factory B are white, and 31% in factory C are white. A car dealer received a car of that model type. Find the probability that it is white.

2. Originally Posted by abrock2
Hi My name is Angela. Can anyone help me figure out how to do this problem. I don't know where to begin.

An automobile has three factories. A, B, and C. They produce 50%, 30%, and 20% respectively of a specific model of car. 10% of the cars produced in factory A are white, 38% in factory B are white, and 31% in factory C are white. A car dealer received a car of that model type. Find the probability that it is white.
P(W)=P([W and A] or [W and B] or [W and C])

=P(W and A)+P(W and B)+P(W and C)

=P(W|A)*P(A)+P(W|B)*P(B)+P(W|C)*P(C)

.10*.50+.38*.30+.31*.20=.226

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