Question

If E and F be mutually exclusive events in a sample space such that P(5) = 0.3 and P(F) = 0.6, then P( $\overline { \mathrm { E } }$ ∩ $\overline { \mathrm { F } }$ ) equals

• A. 0.3
• B. 0.9
• C. 0.1
• D. 0.7

Answer 1

Answer: (C)

0.1

Answer 2

P( $\overline { \mathrm { E } } \cap \overline { \mathrm { F } } ) = \mathrm { P } \left[ ( \mathrm { EUF } ) ^ { \mathrm { C } } \right] = 1 - \mathrm { P } ( \mathrm { EUF } )$

= 1 – [P(5) + P(F)} = 0.1