Q2 of 54 Page 315

If S is the sample space of a random experiment, then P(S) =

Since S is the sample space thus P(S) = 1

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15

The probability that A, B and C can solve a problem are and respectively. The probability of the problem being solved by A and B is , B and C is , A and C is . The probability of the problem being solved by all the three is . Find the probability that the problem can be solved by atleast one of them.

 1

If ϕ is an impossible event, then P(ϕ) =

 3

If p is the probability of an event A, then p satisfies

 4

Let A and B be any two events and S be the corresponding sample space.

Then =