# Probability Question

Six Sigma – iSixSigma Forums Old Forums General Probability Question

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• #47188

Schuette
Participant

Test your knowledge on this statement.
A new television program was viewed by 200 people. 120 Females and 80 Males viewed the program. The following results of a survey regarding the program. Of the 120 Females; 60 gave the program a very positive rating and 60 gave the program a negative rating. Among the Males; 30 gave the program a very high rating and 30 Males gave it a mild, but still positive rating.
1.) What is the probability that any individual selected randomly gave the program a negative rating? _____________
2.) If a Male in this group was selected, what is the probability that he gave the program a negative rating? ___________________
3.) What is the probability that a randomly selected individual is a female and gave the program a negative rating? _______________

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#157059

Jim Shelor
Participant

Jim,
Do we take the 20 males who didn’t like the program enough to bother to vote behind the barn and ….. :-)
Jim Shelor
30% (or 33% depending on the 20 missing males), 0%, 50%

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#157060

Schuette
Participant

That’s the key: 20 males voted negative.
Now what are the answers? I came up with different answers. Can you provide the calculations, so that I can see how you came up with 30, 0, 50

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#157061

Vanka
Participant

Test your knowledge on this statement.
A new television program was viewed by 200 people. 120 Females and 80 Males viewed the program. The following results of a survey regarding the program. Of the 120 Females; 60 gave the program a very positive rating and 60 gave the program a negative rating. Among the Males; 30 gave the program a very high rating and 30 Males gave it a mild, but still positive rating.
1.) What is the probability that any individual selected randomly gave the program a negative rating? _____________
Females who gave negative rating = 60
Males who gave negative rating = 20 (assuming they gave this rating)
Probability that any individual gave negative rating = 80/200 = 2/5
2.) If a Male in this group was selected, what is the probability that he gave the program a negative rating? ___________________
Probability of a male in this group giving a negative rating = 20/80 =1/4
3.) What is the probability that a randomly selected individual is a female and gave the program a negative rating? _______________
Probability of selecting a female from the group = 120/200 = 3/5
Probability of a female giving a negative rating = 60/120 = 1/2
Probability that they selected a female and she gave a negative rating = (3/5)*(1/2) = 3/10
Hope this helps.

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#157063

Jim Shelor
Participant

Jim,
1) prob = 80/200 = 40%
2) prob = 20/80 = 25%
3) prob = (120/200)*(60/120) = 60/200 = 30% (OOPS, misread that one the first time)
Jim Shelor

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#157069

Schuette
Participant

Okay, now we have the same numbers. I thought I messed up or something with the numbers you provided the first time.

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