Help me solve this probability question

Question

Assume that 20 percent are of type A, 50 percent of type B, and 30 percent of type C. It is known that 30 percent of seeds of type A, 40 percent of type B, and 75 percent of type C have germinated. A seed is selected at random.

 

If the seed has germinated, what is the probability that it is of type A?

 

Answer 1

I have already solved a problem for you just like it.

 

The probability that any seed has germinated is 0.2*0.3 + 0.5*0.4 + 0.3* 0.75 = 0.485

 

Then you use Baye's theorem:   Prob  ( A | germinated ) = Prob ( germinated | A) * Prob ( A)/ Prob(germinated)

 

                                                                               = 0.3 * 0.2 / 0.485 = 12.37%