A bag contains 16 coins of which two are counterfeit with heads on both sides. rest are fa

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14.Probability

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A bag contains $16$ coins of which two are counterfeit with heads on both sides. The rest are fair coins. One coin is selected at random from the bag and tossed. The probability of getting a head is

A

$\frac{9}{16}$

B

$\frac{11}{16}$

C

$\frac{5}{9}$

D

None

Solution

Given $2$ coins are counterfeit with heads on both sides and $14$ are fair coins.

$\frac{2}{16} \times 1+\frac{14}{16} \times \frac{1}{2}=\frac{9}{16}$

Standard 11

Mathematics

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(JEE MAIN-2017)