question_answer

Let A, B, C be three events. If the probability of occurring exactly one event out of A and B is\[1-a\], out of B and C is\[\alpha =\pm \text{ }1,\beta =1\], out of C and A is \[1-a\] and that of occurring three events simultaneously is \[{{a}^{2}}\], then the probability that at least one out of A, B, C will occur is

A)  1/2                  

B)  Greater than 1/2

C)  Less than 1/2  

D)  Greater than ¾