If A and B are two mutually exclusive events, then
(a) P(A) < P(B’)
(b) P(A) > P(B’)
(c) P(A) < P(B)
(d) None of these
Since, A and B are two mutually exclusive events.
\(\therefore\) A \(\cap\) B = \(\phi\) \(\implies\) Either A \(\subseteq\) B’ or B \(\subseteq\) A’
\(\implies\) P(A) \(\le\) P(B’) or P(B) \(\le\) P(A’)
Hence, Answer is (d) None of these.
The probability of India winning a test match against the west indies is 1/2 assuming independence from match to match. The probability that in a match series India’s second win occurs at the third test is
A problem in mathematics is given to three students A, B, C and their respective probability of solving the problem is \(1\over 2\), \(1\over 3\) and \(1\over 4\). Probability that the problem is solved is