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

Respuesta :

Answer:

13/14 I think

Step-by-step explanation:


Answer:

The correct option is C. 13/14

Step-by-step explanation:

[tex]\text{Probability of drawing the first candy red = }\frac{2}{5}[/tex]

Let the probability of drawing second candy red be x

[tex]\text{Now, Probability of drawing the two candies red = }\frac{13}{35}[/tex]

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

[tex]\frac{13}{35}=\frac{2}{5}\times x[/tex]

[tex]\implies x = \frac{13}{35}\times \frac{5}{2}[/tex]

[tex]\implies x = \frac{13}{14}[/tex]

[tex]\textbf{The probability of drawing second candy red = }\bf\frac{13}{14}[/tex]

Therefore, The correct option is C. 13/14