Introduction
In this article we will see the important questions related to probability. But before that you need to have look on these basic formulas of probability
For any two events A and B, we have
1) probability of occurrence of A only
So Lets start with a question
Que1) The probability of simultaneous occurrence of at least one of two events A and B is p.If the probability that exactly one of A, B occurs is q, Then prove That 
Answer = 
Que2) Let A, B and C be three events. If the probability of occurring exactly one event out of A and B is 1-x, out of B and C is 1-2x, out of C and A is 1-x, and that of occurring three events simultaneously is x^2, Then prove that the probability that at least one out of A,B,C will occur is greater than 1/2
Solution 
Que3) For the three events A, B and C, p(exactly one of the events A or B occurs) = p (exactly one of the events B and C occurs) = p (exactly one of the events C and A occurs) = p and p (all the three events occur simultaneously) = p^2, where 0<p<1/2. Then find the probability of occurrence of at least one of the three events A,B and C.
Que3) For the three events A, B and C, p(exactly one of the events A or B occurs) = p (exactly one of the events B and C occurs) = p (exactly one of the events C and A occurs) = p and p (all the three events occur simultaneously) = p^2, where 0<p<1/2. Then find the probability of occurrence of at least one of the three events A,B and C.
Solution 
Hope you like the post these questions are important for the purpose of competitive exams. observe the solution carefully and you will understand the question very well
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