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Probability of scoring a penalty

  1. Sep 3, 2003 #1
    The probability that I take a penalty and score is 2/5.

    If I take 10 penalties, what is the probability that I score less than 50% of them?
     
  2. jcsd
  3. Sep 3, 2003 #2

    jcsd

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    My gut instinct tells me the answer should be:

    (10!/4!6!)(3/5)6(2/5)4 + (10!/3!7!)(3/5)7(2/5)3 + (10!/2!8!)(3/5)8(2/5)2 + (10!/9!)(3/5)9 2/5 + (3/5)10

    but I've not checked it throughly
     
    Last edited: Sep 3, 2003
  4. Sep 3, 2003 #3

    jcsd

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    The above gives an answer of ~0.633 which seems about right to me.
     
  5. Sep 3, 2003 #4

    jcsd

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    I've just done a quick check and the above is indeed the correct answer.
     
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