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There are four men and six women on the city council. If one council member is selected for a committee at random, how likely is it that it is a woman?

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Question

There are four men and six women on the city council. If one council member is selected for a committee at random, how likely is it that it is a woman?

Answer in Brief
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Solution

There are four men and six women in the city council.

Ways of selected one of them = `""^10"C"_1`

∴ Total number of possible outcomes = 10

There are total 6 women. Ways of choosing one of them = 6

Number of favourable outcomes = 6

Probability of a woman being selected = `6/10 = 3/5`

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Chapter 14: Probability - EXERCISE 14.2 [Page 306]

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NCERT Mathematics [English] Class 11
Chapter 14 Probability
EXERCISE 14.2 | Q 6. | Page 306

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