Question

A basket contains 5 apples and 7 oranges and another basket contains 4 apples and 8 oranges. One fruit is picked out from each basket. Find the probability that the fruits are both apples or both oranges

• A. $\frac { 24 } { 144 }$
• B. $\frac { 56 } { 144 }$
• C. $\frac { 68 } { 144 }$
• D. $\frac { 76 } { 144 }$

Answer 1

Answer: (D)

$\frac { 76 } { 144 }$

Answer 2

Required probability

$= \frac { 20 + 56 } { 144 } = \frac { 76 } { 144 }$.