Mathematics: The probability of drawing two red candies without replacement is 1335 , and the probability of drawing one red candy is 25 . what is the probability of drawing a second red candy, given that the first candy is red? 27/35 13/70 13/14 26/175

The probability of drawing two red candies without

july00

10.03.2022

The correct option is C. 13/14

Step-by-step explanation:

$\text{Probability of drawing the first candy red = }\frac{2}{5}$

Let the probability of drawing second candy red be x

$\text{Now, Probability of drawing the two candies red = }\frac{13}{35}$

So, Probability of drawing two candies red = Probability of drawing one candy red × Probability of drawing second candy red

$\frac{13}{35}=\frac{2}{5}\times x$

$\implies x = \frac{13}{35}\times \frac{5}{2}$

$\implies x = \frac{13}{14}$

$\textbf{The probability of drawing second candy red = }\bf\frac{13}{14}$

Therefore, The correct option is C. 13/14

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