1. A youth soccer team can start 6 players. The starting players must consist of 3 boys and 3 girls. If there are 5 boys and 8 girls on the team, in how many ways can the coach select players to start the game assuming each player can play each position? 2 . Out of the 50 students on student council, 29 are either on the honor roll or write for the school paper. There are 38 student council members who are on the honor roll and 5 that write for the school paper. What is the probability that a randomly selected student council member is both on the honor roll and writes for the school paper? HIURWIN 28% 3 . P(A) = 0.5, P(A and B) = 0.24, and A ad B are independent. Find P(B). 0. 5 and B= 0.24 4. The table shows the outcome of car accidents by whether or not the driver wore a seat belt. Find the probability of not surviving a car accident, given that the driver did not wear a seat belt. Wore a Seat Belt No Seat Belt Total Driver Survived 412,368 162,527 574,895 Driver Died 510 1601 2111 Total 412,878 164,128 577,006 5. Seven students of different heights are going to march in single file in a parade carrying flags. The order in which they march is randomly selected. What is the probability that they will march in order from shortest to tallest? Write your answer as a fraction, please. 6. Find the probability of drawing the given marbles from a bag of 10 red, 6 green, and 4 blue marbles. 10 a. Green, then red with replacement. LO 10 b Red, then red without replacement. 4 C. Red, then blue, then green without replacement