Question 889847: On a survey question, 69 people answered "yes" to the question, 12 were male. On the same survey question, 62 people answered "no" to the question, 9 were male. If one person were selected at random, what is the probability that the person answered "yes" or was male? Your answer should be a decimal. Round to 3 decimal places.
Answer by solver91311(24713)   (Show Source):
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There were a total of 131 responses to the question. 69 of those responses were "Yes". When looking for the probability that the answer was "Yes" or the respondent was a male, you can ignore the fact that 12 of the "Yes" answers were from men. We know that any of the 69 people who answered "Yes" AND the 9 men who answered "No" qualify as "Answered Yes or was male". This gives a total of 78 outcomes that would be considered successful under the given criteria. The probability is then 78 divided by 131. You can do your own arithmetic.
By the way, you can look at this situation another way, although you will arrive at the same result. Consider the women who answered "Yes" (69 - 12 = 57), the 12 men who answered "Yes" and the 9 men who answered "No". 57 plus 12 plus 9 is still 78.
John
My calculator said it, I believe it, that settles it
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