Question

If E and F are mutually exclusive events, find the probability of (E’$\cup$ F’)

• A. 0
• B. 1
• C. 0.5
• D. 0.2

Answer 1

The correct option is B

1

E and F are mutually exclusive events

E and F are mutually exclusive events. Therefore E $\cap$ F = ∅

P(E $\cap$ F) = 0 --------------------------- (1)

P($E^{\prime }$ $\cup$ $F^{\prime }$) = P( ${E\cap F}^{\prime }$)

= 1 - P(E $\cap$ F)

= 1 - 0

= 1