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One bag contains 5 white and 3 black balls. Another bag contains 4 white and 6 black balls. If one ball is drawn from each bag, find the probability that both are white

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प्रश्न

One bag contains 5 white and 3 black balls. Another bag contains 4 white and 6 black balls. If one ball is drawn from each bag, find the probability that both are white

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उत्तर

First Bag contains 5 white and 3 black balls

Total number of balls in the first bag 8 Second Bag contains 4 white and 6 black halls

Total number of balls in the second bag = 10

One ball is drawn from each bag.

P(getting both are white) = P(getting white ball from the first bag) × P(getting the white ball from the second bag)

= `(""^5"C"_1)/(""^5"C"_1) xx (""^4"C"_1)/(""^10"C"_1)`

= `5/8 xx 4/10`

= `1/4`

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पाठ 12: Introduction to probability theory - Exercise 12.3 [पृष्ठ २५९]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 12 Introduction to probability theory
Exercise 12.3 | Q 8. (i) | पृष्ठ २५९

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