Question
Download Solution PDF5 apples and 6 oranges are kept in a box. If three fruits are chosen at random, then the probability that 2 apples and one orange are picked is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
5 apples and 6 oranges are kept in a box
Concept:
The no of way for choosing r objects from n no of objects is nCr .
Calculation:
5 apples and 6 oranges are kept in a box.
The no of way for choosing 2 apples from 5 apples is 5C2 = 10
The no of way for choosing 1 orange from 6 oranges is 6C1 = 6
The total no of way for choosing 3 fruits from 11 fruits is 11C3 = 165
Now,
The probability that 2 apples and one orange are picked is \(\rm \frac{10\times6}{165}=\frac{4}{11}\)
Hence option (1) is correct.
Last updated on May 26, 2025
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