Answer to Question #12925 in Statistics and Probability for isabella

Question

I just need an answer to the ''assumption'' part of this question and part (a) since though i know what conditional probability is, i don't know how to word it out.


Q. a) Explain, be suitably defining events A and B, what is meant by ‘the probability of A occurring given that B has occurred’.
b) A local greengrocer sells conventionally grown and organically grown vegetables. Conventionally grown vegetables constitute 80% of his sales; carrots constitute12% of the conventional sales and 30% of the organic sales. One day a customer emerges from the shop and is questioned about her purchases. What is the probability that she bought i) conventionally grown carrots ii)carrots?

Given that she did buy carrots, what is the probability that they were organically grown? What assumptions have you made in answering this question?