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A Bag Contains 8 Red, 6 White and 4 Black Balls. a Ball is Drawn at Random from the Bag. Find the Probability that the Drawn Ball Is Not Black - Mathematics

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Question

A bag contains 8 red, 6 white and 4 black balls. A ball is drawn at random from the bag. Find the probability that the drawn ball is Not black

Solution

Total no. of possible outcomes = 8 + 6 + 4 = 18 {8 red, 6 white, 4 black}

E โŸถ event of getting no black ball

No. of favourable outcomes = 4 {4 black balls}

Probability, P(E) =`"No.of favorable outcomes"/"Total no.of possible outcomes"`

P(E) = 4/18 = 2/9

(`barE`) โŸถ ๐‘’๐‘ฃ๐‘’๐‘›๐‘ก ๐‘œ๐‘“ ๐‘›๐‘œ๐‘ก ๐‘”๐‘’๐‘ก๐‘ก๐‘–๐‘›๐‘” ๐‘๐‘™๐‘Ž๐‘๐‘˜ ๐‘๐‘Ž๐‘™๐‘™

P(`barE`) = 1 − ๐‘ƒ(๐ธ)

= 1 − 2/9 = 7/9

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Chapter 16: Probability - Exercise 16.1 [Page 22]

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RD Sharma Mathematics [English] Class 10
Chapter 16 Probability
Exercise 16.1 | Q 28.2 | Page 22
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