- #1

urbantrained

If I take 10 penalties, what is the probability that I score less than 50% of them?

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- #1

urbantrained

If I take 10 penalties, what is the probability that I score less than 50% of them?

- #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

(10!/4!6!)(3/5)

but I've not checked it throughly

Last edited:

- #3

jcsd

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The above gives an answer of ~0.633 which seems about right to me.

- #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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