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mr.luna

Suppose while playing tennis, Venus gets her first serve in 75% of the time. when she gets her first serve in, she wins a point 80% of the time...

  • 2 years ago
  • 2 years ago

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  1. mr.luna
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    if she misses her first serve, her second serve goes in 90% of the time. whe this happens, she wins the point on her second serve 35% of the time. find the probability that venus wins a point when she is serving.

    • 2 years ago
  2. alexandercpark
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    probability was never my strong point, but I could take a guess at this.

    • 2 years ago
  3. mr.luna
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    you guys have any ideas of how to go about solving this?

    • 2 years ago
  4. RaphaelFilgueiras
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    \[p(wp)=p(wp|Gs1).P(Gs1)+p(wp|Gs2).P(Gs2)\]

    • 2 years ago
  5. alexandercpark
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    what i would do would be: \[.75*.80 + (1 - .75*.80)*.9*.35\] the first part being the probability of her winning her first serve and the second of her winning her second serve given a result of her first serve. again its been forever since I've done any probability

    • 2 years ago
  6. RaphaelFilgueiras
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    p(wp|Gs1)=80% p(wp|Gs2)=35% p(Gs1)=75% P(Gs2)=90%

    • 2 years ago
  7. mr.luna
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    is the periods in between multiplications symbols? @RaphaelFilgueiras

    • 2 years ago
  8. RaphaelFilgueiras
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    tihs is the probability of win a point if she gets first server

    • 2 years ago
  9. mr.luna
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    a player is allowed two serves each time in tennis. sorry i forgot to mention that.

    • 2 years ago
  10. RaphaelFilgueiras
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    the secons time Gs2

    • 2 years ago
  11. RaphaelFilgueiras
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    P(wp) is the probability to win a pint

    • 2 years ago
  12. mr.luna
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    the question just says find the P when she is serving. it doesnt when wether is first or second. what shoudl i do?

    • 2 years ago
  13. RaphaelFilgueiras
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    that formula take accounting the two cases,its impossible she gain a ponit without serving

    • 2 years ago
  14. alexandercpark
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    have you played tennis before?

    • 2 years ago
  15. alexandercpark
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    or know how the serving works?

    • 2 years ago
  16. mr.luna
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    oh ok. the problem also says draw a tree diagram. i will post here.

    • 2 years ago
  17. mr.luna
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    nope.

    • 2 years ago
  18. alexandercpark
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    in tennis you have two attempts to get in a good serve with each serve. IF you miss the first one you move onto the second.

    • 2 years ago
  19. mr.luna
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    |dw:1334986543479:dw|

    • 2 years ago
  20. alexandercpark
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    |dw:1334997467614:dw|

    • 2 years ago
  21. alexandercpark
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    try mulitplying the circled numbers together, then the squared ones, then adding them together,.

    • 2 years ago
  22. mr.luna
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    ok, that makes alot more sense. thanks for help! really aprreciate it

    • 2 years ago
  23. mr.luna
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    i got 67.8%

    • 2 years ago
  24. amogh
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    So, i) She could either get her first serve in and get a point (0.75 * 0.80) ii) She could else get her first serve wrong, second serve right and point on her second serve ( 0.25 * 0.90 * 0.35) Sum up i) and ii) 0.6 + 0.079 That's 67.9% , same as what you got! So guess its right! :D

    • 2 years ago
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