answer please

Box % Red Widgets % Blue Widgets Cost Probability of randomly grabbing Box For some reason, the boxes have no labels printed on them so they all look the same. The graduate student is in a hurry so they rush into the store, grab a box at random, give the store owner $50, returns to the lab, and hands the researcher the box. (i) Assume the researcher selects 3 widgets at random from the box and 2 of the 3 are red. Given this information, what is the probability that the graduate student grabbed box A? (7 points) (ii) The graduate student realizes that they gave $50 to the store owner but did not wait to get the change (i.e., the difference in the cost of the box and the $50 paid by the graduate student). The graduate student is still not certain which box they purchased. What is the expected amount of change awaiting the graduate student should they return to the store? (3 points)