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

Step-by-step solution

Given marbles are: 10 → R , 30 → W , 20 → B , 15 → O We know that, P E = Number of favourable outcomes Total number of outcomes Also, P A and B = P A × P B , where A and B are independent events. Probability of drawing first marble red and then white is given by, P E = 10 75 × 30 75 ⇒ P E = 4 75