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प्रश्न
If the probability of A to fail in an examination is \[\frac{1}{5}\] and that of B is \[\frac{3}{10}\] . Then, the probability that either A or B fails is
विकल्प
1/2
11/25
19/50
none of these
उत्तर
19/50
Given:
P(A) = \[\frac{1}{5}\]
∴ P(A') = \[1 - \frac{1}{5} = \frac{4}{5}\]
P(B) = \[\frac{3}{10}\]
∴ P(B') = \[1 - \frac{3}{10} = \frac{7}{30}\]
Hence, required probability = P(A∩ B') + P(A'∩ B)
\[ = \frac{7}{50} + \frac{12}{50}\]
\[ = \frac{19}{50}\]
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