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Tamil Nadu Board of Secondary EducationHSC Science Class 11

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 one white and one black - Mathematics

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Question

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 one white and one black

Sum
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Solution

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 one white and one black) = P( getting one white from the first bag or one white from the second bag) + P(getting one black from the first bag or one black from the second bag)

= `((""^5"C"_1)/(""^8"C"_1) xx (""^6"C"_1)/(""^10"C"_1)) + ((""^4"C"_1)/(""^10"C"_1) xx (""^3"C"_1)/(""^8"C"_1))`

= `(5/8 xx 6/10) + (4/10 xx 3/8)`

= `3/8 + 3/20`

= `(15 + 6)/40`

= `21/40`

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Chapter 12: Introduction to probability theory - Exercise 12.3 [Page 259]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 12 Introduction to probability theory
Exercise 12.3 | Q 8. (iii) | Page 259

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