The probability of happening an event A is 0.5 and that of B is 0.3. If A and B

Question

The probability of happening an event A is 0.5 and that of B is 0.3. If A and B are mutually exclusive events, then the probability of happening neither A nor B is

Options:

A . 0.6

B . 0.2

C . 0.21

D . None of these

Answer: Option B
:
B

P (¯ ¯¯ ¯ A \cap ¯ ¯¯ ¯ B) = P (¯ ¯¯ ¯ A \cup ¯ ¯¯ ¯ B) - 1 - P (A \cup B)

Since A and B are mutually exclusive,

P (A \cup B) = P (A) + P (B)

Hence required probability

= 1 - (0.5 + 0.3) = 0.2

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