SOLUTION: A cage of lab mice contains 10 healthy mice and some infected mice infected with a deadly virus. One mouse is selected at random and the probability that it is infected is 7/12 . T
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Question 746660: A cage of lab mice contains 10 healthy mice and some infected mice infected with a deadly virus. One mouse is selected at random and the probability that it is infected is 7/12 . The number of sick mice is:
Can you show me how to come up with the answer.
Answer
a) 6
b) 14
c) Cannot be determined from the given information.
d) 2
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
The probability is made up of the number
of mice infected/total number of mice.
The fraction 7/12 implies the total
mice = 12 but the numerator 7 does not
work.
So we assume the fraction has been simplified
If we double 7 = 14
this gives us 14/ 10 + 14 = 14/24 which simplifies
down to 7/12 which is whatwe require.
The correct answer therefore is b) 14
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