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Consider a Little League team that has 15 players on its roster, each player is allowed to play any position and each is considered at the same skill level, a) How many ways are there to select 9 players for the starting line up 3. How many ways are there to select 9 players for the starting line up out of the 15 which include the batting order for those 9 starters (hint: order counts) b) Supposed 5 of the 15 players are left-handed. How many ways are there to select 3 left- handed outfielders and have all other 6 positions occupied by right-handed players? c) d) What is the probability of the event described in (c)? population of a particular country consists of three ethnic groups. Each individual belongs to one of the four major blood groups. The accompanying joint probability table gives the proportions of individuals in the various ethnic group-blood group combinations. 4. The Blood Group AB 0.004 0.006 0.020 hnic group 1 0.082 0.135 0.215 0.106 0.141 0.200 0.008 0.018 0.065 Suppose that an individual is randomly selected from the population, and define by event A - od type A selected), B-(blood type B selected), and C (ethnic group 3 selected) a) Calculate P(A) b) Calculate P(B) c) Calculate P( ethnic group 2)
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