18. You are given two boxes of cubes. Box one has three blue cubes and one red c

Question

18. You are given two boxes of cubes. Box one has three blue cubes and one red cube. Box two has two blue and five red cubes. When a coin is flipped and it is a head, a cube is chosen from box one; if it is a tail, a cube is chosen from box two. Draw and label the tree diagram describing this situation. Find the probability of selecting a blue cube. (Show work) 19. If a family has 5 children, find the probability that there is at least one boy. P(at least one boy) Use the formula P(E) 1- P(E) 20. In a company there are nine managers and twenty workers. Four managers and six workers are male Find the probability an employee was a male, given that he was a worker.

Explanation / Answer

19)

Family has 5 children

P(boy) = P(girl) = 1/2

P(at least 1 boy) = 1 - P(no boy)

P(at least 1 boy) = 1 - 0.5^5

P(at least 1 boy) = 1 - 0.03125

P(at least 1 boy) = 0.96875

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