10. The probability that Andre gets a hit when at bat is 1/5. Use binomial coefficients to find the probability that he gets exactly 4 hits during his next 10 at bats. 11. In a computer game, when a treasure chest is opened, it contains either gold coins or rocks. The probability that it contains gold coins is 5/6. a. The treasure chest is opened 15 times per game. In one game, how many different ways is it possible to open the chest and find gold coins exactly 9 times? b. What is the probability that a person playing the game will find gold in the chest more than 12 times? 12. If a football team converts 30% of their two-point conversions, find the likelihood that they convert 2 of their next 5 conversions.