Question

The probability that at least one of the events A & B occurs is $\frac { 3 } { 5 }$. If A & B occur simultaneously with probability $\frac { 1 } { 5 }$

then P($\overline { \mathrm { A } }$) + P( $\overline { \mathrm { B } }$ ) =

• A. $\frac { 2 } { 5 }$
• B. $\frac { 4 } { 5 }$
• C. $\frac { 6 } { 5 }$
• D. None

Answer 1

Answer: (C)

$\frac { 6 } { 5 }$

Answer 2

P (A Č B) = 3/5; P(1) + P (2) = $\frac { 3 } { 5 }$ + $\frac { 1 } { 5 }$ = $\frac { 4 } { 5 }$ P (A Ē B)

= $\frac { 1 } { 5 }$; P ( $\overline { \mathrm { A } }$ ) + P( $\overline { \mathrm { B } }$ ) = $2 - \frac { 4 } { 5 }$ = $\frac { 6 } { 5 }$