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3. A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball is double that of a red ball, determine the number of blue balls in the bag.

3. A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball

is double that of a red ball, determine the number of blue balls in the bag.

Grade:12th pass

1 Answers

Pawan Prajapati
askIITians Faculty 60787 Points
2 years ago
It is given that the total number of red balls = 5 Let the total number of blue balls = x So, the total no. of balls = x+5 P(E) = (Number of favourable outcomes/ Total number of outcomes) ∴ P (drawing a blue ball) = [x/(x+5)] ——–(i) Similarly, P (drawing a red ball) = [5/(x+5)] ——–(i) From equation (i) and (ii) x = 10 So, the total number of blue balls = 10

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