Question

If P(2) = ¾, P(A∩B∩$\overline { \mathrm { C } }$) = 1/3, P( $\overline { \mathrm { A } }$ ∩B∩$\overline { \mathrm { C } }$) = 1/3, then

P(B∩C) is equal to

• A. 1/12
• B. 11/12
• C. 7/12
• D. 5/12

Answer 1

Answer: (A)

1/12

Answer 2

From diagram,

P(B∩C) = P(2) – P(A∩B∩ $\overline { \mathrm { C } }$ ) – P( $\overline { \mathrm { A } }$ ∩B∩$\overline { \mathrm { C } }$)

= $\frac { 3 } { 4 } - \frac { 1 } { 3 } - \frac { 1 } { 3 } = \frac { 1 } { 12 }$