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Witrex Brown, an E-commerce company gives home delivery of its valuable products after receiving final order on their website by different modes of transportation like bike, scooter, tempo and truck. The probabilities of using bike, scooter, tempo and truck are respectively 2/9, 1/9, 4/9 and 2/9. The probabilities of his delivering the product late to the destination by using these modes of transport are 3/5, 2/5, 1/5 and 4/5. If the product reach to the destination in time, find the probability that be has used scooter to reach the office.
Given that probabilities of his delivering the product late to the destination by using bike, scooter, tempo and truck are 3/5, 2/5, 1/5 and 4/5 respectively.
Hence the probabilities of his delivering the product on time by using these modes of transport are 2/5, 3/5, 4/5 and 1/5 respectively.
Hence the required probability
P = $$\frac{\frac{1}{9}*\frac{3}{5}}{\frac{2}{9}*\frac{2}{5}+\frac{1}{9}*\frac{3}{5}+\frac{4}{9}*\frac{4}{5}+\frac{2}{9}*\frac{1}{5}}$$
P = $$\frac{3}{25}$$
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