There are three different types of circus prizes marked big (B), medium (M) and little (L). Each contains a certain number of red (R) and gold (G) balls, distributed as follows . big prize (B) : SR and 6G - medium prize (M) :4R and 3G - little prize (L) : IR and 1G Your friend wins 3 big prizes, 1 medium prize and 2 little prizes. Without looking, you randomly reach into one of her prizes, and randomly take out one of its balls, which happens to be gold (G). Calculate the probability that you were choosing from a big prize bag. P(B|G) : ' Number Note: your answer should be entered with at least 2 signicant gures. Hint: formulate the question as a conditional probability