SOLUTION: Can you please show me how to figure this? Based on a survey at school, it was found that 75% of the boys and 65% of the girls like to watch hockey games. There are an equal nu

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Question 444217: Can you please show me how to figure this?
Based on a survey at school, it was found that 75% of the boys and 65% of the girls like to watch hockey games. There are an equal number of boys and girls at the school. If someone does NOT like to watch hockey games, what is the approximate probability that the person is a boy?
Thank you!
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Based on a survey at school, it was found that 75% of the boys and 65% of the girls like to watch hockey games. There are an equal number of boys and girls at the school. If someone does NOT like to watch hockey games, what is the approximate probability that the person is a boy?
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P(boy | doesn't like) = P(boy AND doesn't like)/P(doesn't like)
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P(doesn't like) = (0.25+0.35)/2.00 = 0.30
= 0.25/0.30
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= 5/6
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Cheers,
Stan H.

Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
Let the total of boys plus girls =
The number of boys who watch hockey is
The number of girls who watch hockey is
The number of students who don't watch hockey is
The number of boys who don't watch hockey is
The probability that someone who doesn't watch hockey is a boy is