A building contractor buys 60​% of his cement from supplier A and 40​% from supplier B. A total of 75​% of the bags from A arrive​ undamaged, and a total of 85​% of the bags from B arrive undamaged.Find the probability that a damaged bag is from supplier B

A cooler contains 100 ice cream bars. There are 30 Vanilla​ bars, 20 Mint Chocolate Chip​ bars,10 Chocolate​ bars, and 40 Rocky Road bars. If one bar is selected at random from the​ cooler, determine the probability that the bar selected is Vanilla​, Chocolate​, or Rocky Road.

Tom buys a bag of cookies that contains 9 chocolate chip cookies, 9 peanut butter cookies, 4 sugar cookies and 7 oatmeal raisin cookies. What is the probability that Tom randomly selects a chocolate chip cookie from the bag, eats it, then randomly selects another chocolate chip cookie? Express your answer as a reduced fraction.

A building contractor buys 65% of his cement from supplier A and 35% from supplier B. A total of 85% of the bags from A arrive undamaged. While 93% of the bags from B arrive undamaged. Find the probability that a damaged bag is from supplier B.