Two marbles are drawn in succession from a box containing 10 red, 30 white, 20 blue and 15 orange ma

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14.Probability

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Two marbles are drawn in succession from a box containing $10$ red, $30$ white, $20$ blue and $15$ orange marbles, with replacement being made after each drawing. Then the probability, that first drawn marble is red and second drawn marble is white, is

A

$\frac{2}{25}$

B

$\frac{4}{25}$

C

$\frac{2}{3}$

D

$\frac{4}{75}$

(JEE MAIN-2024)

Solution

Probability of drawing first red and then white $=\frac{10}{75} \times \frac{30}{75}=\frac{4}{75}$

Standard 11

Mathematics

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