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 the first drawn marble is red and the second drawn marble is white, is

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Solution

Q.
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 the first drawn marble is red and the second drawn marble is white, is [2024]

1 $\frac{2}{25}$

2 $\frac{4}{75}$

3 $\frac{2}{3}$

4 $\frac{4}{25}$

Ans.
(2)

Total marbles = 10 + 30 + 20 + 15 = 75

Let $E$ be the event of drawing first drawn marble is red and second drawn marble is white.

Now, probability of drawing first red marble and $2^{n d}$ white marble is

$P (E) = \frac{10}{75} \times \frac{30}{75} = \frac{4}{75}$

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