Question 1049607: After a statistical study of matches played by a tennis player, her coach has calculated the following experimental probabilities:
- She gets 60% of her first serves into play,
- she wins 70% of the points from her first serve,
- she gets 85% of her second serves into play,
- she wins 60% of points from her second serve.
Use either a probability tree, or the addition and multiplication principles to calculate the following probabilities.
1.Find the probability that she double faults (misses both serves)
2.Find the probability she loses a point after she gets her first serve into play
3.Find the probability that she wins a point after having to play a second serve
4.Find the probability that she loses the point
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! After a statistical study of matches played by a tennis player, her coach has calculated the following experimental probabilities:
- She gets 60% of her first serves into play,
- she wins 70% of the points from her first serve,
- she gets 85% of her second serves into play,
- she wins 60% of points from her second serve.
Use either a probability tree, or the addition and multiplication principles to calculate the following probabilities.
1.Find the probability that she double faults (misses both serves)
Ans: 0.4*0.15 = 0.060
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2.Find the probability she loses a point after she gets her first serve into play
Ans: 0.6*0.3 = 0.18
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3.Find the probability that she wins a point after having to play a second serve
Ans: 0.4*0.6 = 0.24
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4.Find the probability that she loses the point
Ans:: 0.060 + 0.18
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Cheers,
Stan H.
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