Let A, B, C be the events. If the probability of occurring exactly one event out of A and B is 1-a. out of B and 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

\[Greater\text{ }than\,\,{\scriptscriptstyle 3\!/\!{ }_4}\]

Let A, B, C be the events. If the probability of occurring exactly one

1.	Let A, B, C be the events. If the probability of occurring exactly one event out of A and B is 1-a. out of B and 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.	½
B.	Greater than ½
C.	Less than ½
D.	\[Greater\text{ }than\,\,{\scriptscriptstyle 3\!/\!{ }_4}\]
Answer» C. Less than ½

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Let A, B, C be the events. If the probability of occurring exactly one event out of A and B is 1-a. out of B and 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

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