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

Question

A basket contains 5 apples and 7 oranges and another basket contains 4 apples and 8 oranges. one fruits is picked out form each basket. Find the probability that both fruits are apples or both are oranges (A) (24/144) (B) (56/144) (C) (68/144) (D) (76/144)

Tardigrade Admin · Accepted Answer

Required probability =( 5 C 1/ 12 C 1) × ( 4 C 1/ 12 C 1)+( 7 C 1/ 12 C 1) × ( 8 C 1/ 12 C 1)=(76/144)

Q. A basket contains $5$ apples and $7$ oranges and another basket contains $4$ apples and $8$ oranges. one fruits is picked out form each basket. Find the probability that both fruits are apples or both are oranges

$\frac{24}{144}$

$\frac{56}{144}$

$\frac{68}{144}$

$\frac{76}{144}$

Required probability $= \frac{^{5} C _{1}}{^{12} C _{1}} \times \frac{^{4} C _{1}}{^{12} C _{1}} + \frac{^{7} C _{1}}{^{12} C _{1}} \times \frac{^{8} C _{1}}{^{12} C _{1}} = \frac{76}{144}$

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

14424​

14456​

14468​

14476​