#### A problem in mathematics is given to three students and their respective probability of solving the problem is 1/2, 1/3 and 1/4. Probability that the problem is solved is Option 1) 3/4 Option 2) 1/2 Option 3) 2/3 Option 4) 1/3

As we learnt in

Complementary events -

Let S be the sample space  for a random experiment and let E be the event then complement of event E is

- wherein

where E' contains those element which E does not contain.

Probability that quostion is not solved=

P (question is solved) =

Option 1)

3/4

Correct option

Option 2)

1/2

Inorrect option

Option 3)

2/3

Inorrect option

Option 4)

1/3

Inorrect option