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  4. 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

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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

Probability - Part 2

Solution:

Required probability $=\frac{{ }^5 C _1}{{ }^{12} C _1} \times \frac{{ }^4 C _1}{{ }^{12} C _1}+\frac{{ }^7 C _1}{{ }^{12} C _1} \times \frac{{ }^8 C _1}{{ }^{12} C _1}=\frac{76}{144}$