Let \( A, B, C \) be three events. If the probability of occurring one event out of \( A \) and ... VIDEO
Let \( A, B, C \) be three events. If the probability of occurring one event out of \( A \) and \( B \) is \( 1-a \), out of \( B \) and \( C \) is \( 1-2 a \), out of \( C \) and \( A \) is \( 1-a \) and that of occurring three events simiultaneously is \( a^{2} \), then prove that the probability that at least one out of \( A, B, C \) will occur is greater than or equal to 0.5 .https://bit.ly/YTAI_PWAP https://www.pw.live
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\[
\begin{array}{l}
f(x)=\sqrt{5-x^{2}}, g(x)=\operatorname{sgn}\left(x...
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