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Misc 16 - Find probability that transferred ball is black - Bayes theoram

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  1. Class 12
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Misc 16 Bag I contains 3 red and 4 black balls and Bag II contains 4 red and 5 black balls. One ball is transferred from Bag I to Bag II and then a ball is drawn from Bag II. The ball so drawn is found to be red in colour. Find the probability that the transferred ball is black. Let A : Event of drawing red ball from Bag II E1 : Event that red ball is transferred from Bag I E2 : Event that black ball is transferred from Bag I We need to find out the probability that the ball transferred is black, if ball drawn is red in color i.e. P(E2|A) P(E2|A) = 𝑃 𝐸﷮2﷯﷯.𝑃(𝐴| 𝐸﷮2﷯)﷮𝑃 𝐸﷮1﷯﷯.𝑃(𝐴| 𝐸﷮1﷯)+𝑃 𝐸﷮2﷯﷯.𝑃(𝐴| 𝐸﷮2﷯) ﷯

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    a dice is loaded in such a way that an even number is twice likely to occur as an odd number. if die is tossed twice , find the probability distribution of random variable x representing the perfect square number in two tosses.

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