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# The probability of an arrow reaching a target is 0.85. How many times the arrow must be shot in order to hit the target 340 times?A. 289B. 400C. 500D. 600

Last updated date: 13th Jun 2024
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Hint: We will write the given probability in terms of fraction and then in percentage. Here, 0.85 implies 85% of total shots. Let the total shots be $x$, then we will solve the equation 85% of total shots equal to 340 to get the required answer.

The probability of hitting a target is 0.85 which is equivalent to $85\% = \dfrac{{85}}{{100}}$.
Let the total number of shots be $x$
$\Rightarrow$ $\dfrac{{85}}{{100}}x = 340$
$\Rightarrow$ $85x = 34000$
$\Rightarrow$ $x = \dfrac{{34000}}{{85}} = 400$
Note: Probability of an event is the ratio of number of favourable outcomes to number of total outcomes. If the probability of an event is $\dfrac{{85}}{{100}}$, this implies that the number of targets hit are 84 when the number of shots are 100.