1.

In a class of 125 students 70 passed inMathematics, 55 in statistics, and 30 in both. Then find the probability thata student selected at random from the class has passes in only one subject.

Answer» Correct Answer - `13//25`
Consider the following events:
A: A student is passed in Mathematics
B: A student is passed in Statistics
Then,
`P(A) = (70)/(125), P(B) = (55)/(125), P(A nn B) = (30)/(125)`
Required probability is
`P(A nn barB) + P(barA nn B)`
`=P(A) + P(B) - 2P(A nn B)`
`=(70)/(125) + (55)/(125) - (60)/(125) = (65)/(125) = (13)/(25)`


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