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A bag contains 3 red balls, 4 blue balls and 1 yellow ball, all the balls being identical in shape and size. If a ball is taken out of the bag without looking into it - Mathematics

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प्रश्न

A bag contains 3 red balls, 4 blue balls and 1 yellow ball, all the balls being identical in shape and size. If a ball is taken out of the bag without looking into it; find the probability that the ball is red.

योग

उत्तर

Total number of balls in the bag = 3 + 4 + 1 = 8 balls 

Number of possible outcomes = 8 = n(S) 

Event of drawing a red ball = {R, R, R} 

n(E) = 3 

Probability of drawing a red ball = `(n(E))/(n(S)) = 3/8`

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अध्याय 25: Probability - Exercise 25 (C) [पृष्ठ ३९४]

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सेलिना Mathematics [English] Class 10 ICSE
अध्याय 25 Probability
Exercise 25 (C) | Q 1.2 | पृष्ठ ३९४

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A bag contains 3 red balls, 4 blue balls and 1 yellow ball, all the balls being identical in shape and size. If a ball is taken out of the bag without looking into it; find the probability that the ball is yellow.


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Solution:

Suppose ‘S’ is sample space.

∴ n(S) = 52

Event A: Card drawn is a red card.

∴ Total red cards = `square` hearts + 13 diamonds

∴ n(A) = `square`

∴ p(A) = `square/("n"("s"))`   ....formula

∴ p(A) = `26/52`

∴ p(A) = `square`


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