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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Five mangoes and 4 apples are in a box. If two fruits are chosen at random, find the probability that one is a mango and the other is an apple - Mathematics

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Question

Five mangoes and 4 apples are in a box. If two fruits are chosen at random, find the probability that one is a mango and the other is an apple

Sum

Solution

Let S be the sample space

A be the event of taking one mango and one apple.

n(S) = 9C2

n (A) = 5C1 × 4C1

= 5 × 4

= 20

P(A) = `("n"("A"))/("n"("S"))`

= `20/36`

= `5/9`

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Finite Sample Space
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Chapter 12: Introduction to probability theory - Exercise 12.1 [Page 246]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 12 Introduction to probability theory
Exercise 12.1 | Q 3. (i) | Page 246
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