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Question

Question: In a class of 125 students 70 passed in Mathematics, 55 in Statistics and 30 in both. The probabili...

In a class of 125 students 70 passed in Mathematics, 55 in

Statistics and 30 in both. The probability that a student

selected at random from the class has passed in only one

subject is -

A

1325\frac { 13 } { 25 }

B

325\frac { 3 } { 25 }

C

1725\frac { 17 } { 25 }

D

825\frac { 8 } { 25 }

Answer

1325\frac { 13 } { 25 }

Explanation

Solution

P (M) + P(Stat) – 2P (M Ē State)

= 30125\frac { 30 } { 125 } = 65125\frac { 65 } { 125 } = 1325\frac { 13 } { 25 }