Answer to Question #242100 in Statistics and Probability for jasim

Question

20% of people are vegetarians. 70% of vegetarians like broccoli. 20% of vegetarians like

carrot. 10% of vegetarians like cucumber. 40% of meat eaters like broccoli. 60% of meat

eaters like carrot. What is the probability that a man who likes carrot is a meat eater?

Answer 1

To answer the question we will find the amount of people that like carrot, the amount of people that eat meat and like carrot, and then find the probability.

Let X-amount of people. Then, there are:

1) $a=0.2*0.2*x=0.04x$ people that are vegeterians and like carrot

2) $b=0.8*0.6*x= 0.48x$ people that are non-vegeterians and like carrot.

So, there are 0.52x people that like carrot and 0.48x of them are meat eaters. The answer is $0.48x/0.52x=12/13$