Question

Tanda also offers advanced dance coaching to exceptional talents she identifies at camp. She has her eye on 6 students from Pomelo Heights, 4 students from Whispering Bell and 2 precocious students from Coyote Run. If she accepts 6 of these prospects randomly for coaching, what is the probability that she will get two from each school?

Answer 1

Number of ways of selecting two students from each school = 6C2(selecting two students from Pomelo Heights) * 4C2 (Selecting two students from Whispering bells) * 2C2 (selecting two students from Coyote Run) = 15 * 6 * 1 = 90 ways

Total number of ways = 12C6 (Select any 6 students from the total of 12 students (6 from Pomelo, 4 from Whispering bells and 2 from Coyote) = 924

P(she will get two from each school) = Number of ways of selecting two students from each school/Total number of ways = 90/924 = 0.0974

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