Three boxes are selected with probabilities respectively

MATHEMATICS · Single correct · CBSE · Mathematics · Probability · Probability

Problem

Three boxes B1,B2,B3B_1, B_2, B_3 are selected with probabilities 0.40,0.35,0.250.40, 0.35, 0.25 respectively. The probabilities of drawing a blue ball from these boxes are 0.10,0.20,0.250.10, 0.20, 0.25 respectively. Which of the following expressions equals the probability that a ball drawn at random is blue? (a) 0.40×0.10+0.35×0.200.40\times0.10+0.35\times0.20 (b) 0.40×0.10+0.35×0.20+0.25×0.250.40\times0.10+0.35\times0.20+0.25\times0.25 (c) 0.10+0.20+0.253\dfrac{0.10+0.20+0.25}{3} (d) 0.40×0.20+0.35×0.25+0.25×0.100.40\times0.20+0.35\times0.25+0.25\times0.10

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