Question

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

• A. 0.6
• B. 0.2
• C. 0.7
• D. None of these

Answer 1

Answer: (B)

0.2

Answer 2

P($\overline { \mathrm { A } } \cap \overline { \mathrm { B } } ) = \mathrm { P } ( \overline { \mathrm { AUB } } ) = 1 - \mathrm { P } ( \mathrm { AUB } )$

= 1 – (P(1) + P(2)) = 0.2