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#9 chap 4

David Barnes and his fiancée Valerie Shah are visiting Hawaii. At the Hawaiian Cultural Center in Honolulu, they are told that 2 out of a group of 29 people will be randomly picked for a free lesson of a Tahitian dance.

a. What is the probability that both David and Valerie get picked for the Tahitian dance lesson? (Round your answer to 4 decimal places.)

Probability:__________________

b. What is the probability that Valerie gets picked before David for the Tahitian dance lesson? (Round your answer to 4 decimal places.)

Probability:__________________

#10 chap 4:

An analyst thinks that next year there is a 20% chance that the world economy will be good, a 50% chance that it will be neutral, and a 30% chance that it will be poor. She also predicts probabilities that the performance of a start-up firm, Creative Ideas, will be good, neutral, or poor for each of the economic states of the world economy. The following table presents probabilities for three states of the world economy and the corresponding conditional probabilities for Creative Ideas.

State of the
World Economy
Probability of
Economic State
Performance of
Creative Ideas
Conditional Probability
of Creative Ideas
Good 0.20 Good 0.60
Neutral 0.30
Poor 0.10
Neutral 0.50 Good 0.40
Neutral 0.30
Poor 0.30
Poor 0.30 Good 0.20
Neutral 0.30
Poor 0.50

a. What is the probability that the performance of the world economy will be neutral and that of creative ideas will be poor? (Round your answer to 2 decimal places.)

Probability:__________________

b. What is the probability that the performance of Creative Ideas will be poor? (Round your answer to 2 decimal places.)

Probability:__________________

c. The performance of Creative Ideas was poor. What is the probability that the performance of the world economy had also been poor? (Round your answer to 2 decimal places.)

Probability:__________________

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