SOLUTION: Of the 81 people who answered "yes" to a question, 6 were male. Of the 70 people that answered "no" to the question, 6 were male. If one person is selected at random from the group
Algebra.Com
Question 1089945: Of the 81 people who answered "yes" to a question, 6 were male. Of the 70 people that answered "no" to the question, 6 were male. If one person is selected at random from the group, what is the probability that the person answered "yes" or was male?
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
Total answers: 81Y+70N = 151, thus P(Y) = 81/151
-----------------------------------------------
Total male answers: 6+6 = 12, thus P(M) = 12/151
---------------------------------------------
Of 151 people only 6 males answered "yes", thus P(Y and M) = 6/151
---------------------------------------------------
Now let's put it all together:
P(Y or M) = P(Y)+P(M)- P(Y and M)
P(Y or M) = 81/151+12/151+6/151 = 99/151 = 0.6556
RELATED QUESTIONS
Of the 58 people who answered "yes" to a question, 10 were male.
Of the 95 people that... (answered by Edwin McCravy)
Of the 57 people who answered "yes" to a question, 8 were male. Of the 61 people that... (answered by stanbon)
Of 78 people who answered "yes" to a question, 20 were male. Of the 72 people who... (answered by solver91311)
Of the 57 people who answered "yes" to a question, 8 were male. Of the 61 people that... (answered by Boreal)
In response to a questionnaire 57 people answered “yes” to a particular question. Of... (answered by robertb)
On a survey question, 69 people answered "yes" to the question, 12 were male. On the same (answered by solver91311)
On a survey question, 69 people answered yes to the question, 12 were male. On the same... (answered by mathmate)
Of the 52 people who answered yes to a quetion, 5 were male. Of the 77 that answered no... (answered by Edwin McCravy)
The first week of a research study, 3,000 people were interviewed. The second week, 30%... (answered by Boreal)