I have two questions that I need help on.
1. Bag M contains 5 white balls and 2 red balls and bag N contains 3 white balls and 4 red balls and you randomly select a ball from Bag M and place it in Bag N. If a white ball is selected from Bag N, what is the probability that a red ball was transferred from Bag M to Bag N.
2. There are 10 horses in a race. A particular bet requires a customer to choose the first three horses in the correct finishing order. If all 10 horses have an equal chance of finishing in any position, determine the probability that a single bet wins.