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 ________.

Solution

## Total number of fruits in the box = 5 + 6 + x = 11 + x Probability of selecting an apple = It is given that the probability of selecting an apple from the box is $\frac{1}{3}$. $\therefore \frac{5}{11+x}=\frac{1}{3}\phantom{\rule{0ex}{0ex}}⇒11+x=15\phantom{\rule{0ex}{0ex}}⇒x=15-11=4$ 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____.MathematicsRD Sharma (2020, 2021)All

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