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?

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  .