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CBSE Class 12-science Answered

A bag contains 5 white balls and 9 red balls. Three balls are drawn from the bag. What is the probability that at least one ball is white?
Asked by sachinkumarmishra1 | 29 Jan, 2020, 02:59: PM
answered-by-expert Expert Answer
Total number of balls = 5 + 9 = 14
Total number of ways of drawing 3 balls without replacement = 14 x 13 x 12
There are three different possbilities of drawing 3 balls such that at least one ball is white
Case 1: 1 white 2 red
Number of ways = 5 x 9 x 8
Case 2: 2 white 1 red
Number of ways = 5 x 4 x 9
Case 3: 3 white 0 red
Number of ways = 5 x 4 x 3
T h e r e f o r e comma space p r o b a b i l i t y space o f space g e t t i n g space a t space l e a s t space 1 space w h i t e space b a l l space i s P equals fraction numerator 5 cross times 9 cross times 8 over denominator 14 cross times 13 cross times 12 end fraction plus fraction numerator 5 cross times 4 cross times 9 over denominator 14 cross times 13 cross times 12 end fraction plus fraction numerator 5 cross times 4 cross times 3 over denominator 14 cross times 13 cross times 12 end fraction equals fraction numerator 360 plus 180 plus 120 over denominator 14 cross times 13 cross times 12 end fraction equals fraction numerator 660 over denominator 14 cross times 13 cross times 12 end fraction equals 55 over 182
Answered by Renu Varma | 30 Jan, 2020, 02:24: PM

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CBSE 12-science - Maths
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Asked by armaanjain840 | 20 Dec, 2023, 05:59: PM
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CBSE 12-science - Maths
A bag contains 5 white balls and 9 red balls. Three balls are drawn from the bag. What is the probability that at least one ball is white?: Looks like answer posted as 55/182 is wrong. Request to recheck it once again.
Asked by sachinkumarmishra1 | 31 Jan, 2020, 05:17: PM
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CBSE 12-science - Maths
A bag contains 5 white balls and 9 red balls. Three balls are drawn from the bag. What is the probability that at least one ball is white?
Asked by sachinkumarmishra1 | 29 Jan, 2020, 02:59: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
A bag contains 5 white balls and 9 red balls. Three balls are drawn, without replacement, from the bag. What is the probability that at least one ball is white?
Asked by sachinkumarmishra1 | 27 Jan, 2020, 12:27: PM
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CBSE 12-science - Maths
A bag contains 7 white , 5 Black and 4 red balls. 4 balls are drawn without replacement. Find the probability that atleast 3 balls are black.
Asked by sachinkumarmishra1 | 24 Jan, 2020, 11:10: AM
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CBSE 12-science - Maths
From a bag containing 8 white and 5 Black balls. Four balls are drawn one by one without replacement . Find the probability that exactly two of them are white.
Asked by sachinkumarmishra1 | 23 Jan, 2020, 12:00: PM
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CBSE 12-science - Maths
a bag contains 4 red ,6 green, 3 white balls ,three balls are drawn one after one the other without replacement,find the probability that the balls are red,green and green  My doubt is --How can we solve this question by combination ? The explanation given is    begin mathsize 16px style probability space of space taking space 1 st space ball space red space ball equals 4 over 13 probability space of space taking space 2 nd space ball space green space ball equals 6 over 12 space left parenthesis no space replacement right parenthesis probability space of space taking space 3 rd space ball space green space ball equals 5 over 11 space left parenthesis no space replacement right parenthesis so space in space total 4 over 13 cross times 6 over 12 cross times 5 over 11 end style  
Asked by sachinkumarmishra1 | 22 Jan, 2020, 05:50: PM
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CBSE 12-science - Maths
Neelam has offered physics , chemistry and mathematic sin class XII. She estimates that her probabilities of receiving a grade A  in these course are 0.2 , 0.3 and 0.9  respectively . Fins the probability that neelam receives : exactly 2A grades
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CBSE 12-science - Maths
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Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
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CBSE 12-science - Maths
If A and B are independent events, such that P(A) = , P(B) = , then find .       
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
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