.
In a recent study, the following data was obtained in response to the question, “Do you
favor recycling in your neighborhood?”
Yes No No Opinion
Males 25 15 10
Females 30 10 10
If a person is picked at random, what is the probability that the person is either male or has no opinion regarding recycling?
could you show me the steps please?
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The probability under the question is the ratio of two amounts, of two integer numbers.
The denominator of this ratio is, of course, the total number of all interviewed people that are male and females: 25 + 30 = 55.
The numerator is the number of those people who are EITHER males OR have no opinion.
The number of males is 25. To this number, you need to add that females who have no opinion: 10.
You do not need to add males who have no opinion: otherwise you will count them twice.
So, your numerator is 25 + 10 = 35, and your ratio, which is the PROBABILITY under the question, is equal to
= 
.
Answer. The probability under the question is equal to .
