document.write( "Question 443068: Binomial probability: \r
\n" ); document.write( "\n" ); document.write( "Jessie is a fantastic goalie who stops three out of every four penalty shots taken on her. In a particularly tough game, she faced five penalty shots. What is the probability she lets only one of the five shots score? \r
\n" ); document.write( "\n" ); document.write( "If R=1 N=5, would probability of success be: P=3/4 and probability of failure be: Q=1/4 because I'm not sure 100%? \r
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\n" ); document.write( "\n" ); document.write( "(I'm just having a hard time figuring out if I am writing my fractions correctly for: P=Probability of success and Q=Probability of failure. Therefore, I don't know if my equation should be set up as: 5C1(3/4)^1(1/4)^4 and if my answer than should be 1.46%. Please let me know if this is correct or not. Thank you and I really appreciate it too.)
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Algebra.Com's Answer #305628 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Binomial probability:
\n" ); document.write( "Jessie is a fantastic goalie who stops three out of every four penalty shots taken on her.
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\n" ); document.write( "P(blocks shot) = 3/4 = 0.75
\n" ); document.write( "P(allows goal) = 0.25
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\n" ); document.write( "\n" ); document.write( "In a particularly tough game, she faced five penalty shots. What is the probability she lets only one of the five shots score?
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\n" ); document.write( "Binomial Problem with n = 5 and p = 0.25 (allows goal)
\n" ); document.write( "P(allows one goal in 5 shots) = 5C1(0.25)(0.75)^4 = 0.3955
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\n" ); document.write( "Comment: Get away from using the words \"success\" and \"failure\".
\n" ); document.write( "Use the words relating to the situation described. Actually
\n" ); document.write( "write the words down as I have above. That way you will aways
\n" ); document.write( "know what p is and what q is.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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