4. You have been selected as the overseer of the summer sports league for the youth. Your club consists of 8 boys and 7 girls. The team needs 10 players for a softball game. How many different teams can be formed if the team must have exactly 6 boys and 4 girls?

5. Your friend loves going to the casino and playing craps. The rules of craps are after you place your bet the first dice roll will set the come point. You winif your first roll is a natural (7, 11) and lose if it is craps (2, 3, 12). Other rolls will make you a winner if the come point is repeated before a 7 is rolled. If a 7 is rolled before the come point, you lose.

a. What is the probability you will lose on your first roll?

b. What is the probability you will not win on your first roll?