A bag contains 6 apples 8 bananas and x 2 oranges Two fruits are chosen at random Find the value of ...........

Quantitative Aptitude ( CCS) Probability

A bag contains 6 apples, 8 bananas and (x+2) oranges. Two fruits are chosen at random. Find the value of x if the probability that both fruits are oranges is 2/51.

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Explanation:

Probability of selecting two oranges = (x+2)C2/(16+x)C2 Now, (x+2)C2/(16+x)C2 = 2/51
=> 7x^2 + 13x – 54 = 0
=> 7x^2 – 14x + 27x – 54 = 0
=> x = 2 or -27/7

Hence, option 1 is the correct answer.