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A box contains 5 apples, 6 oranges and 'x' bananas. If the probability of selecting an apple from the box is 1/3, then the number of bananas is ______.

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Question

A box contains 5 apples, 6 oranges and 'x' bananas. If the probability of selecting an apple from the box is 1/3, then the number of bananas is ______.

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Solution

A box contains 5 apples, 6 oranges and 'x' bananas. If the probability of selecting an apple from the box is 1/3, then the number of bananas is 4.

Explanation:

Set the apple probability equal to the given value: \[\frac{5}{11+x}=\frac{1}{3}\].

Solving gives 15 = 11 + x, so x = 4 bananas.

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Chapter 16: Probability - FILL IN THE BLANK TYPE QUESTIONS (FBQs) [Page 16.31]

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R.D. Sharma Mathematics [English] Class 10
Chapter 16 Probability
FILL IN THE BLANK TYPE QUESTIONS (FBQs) | Q 29. | Page 16.31
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