#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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