Balls

In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?

7/19 8/21 3/4 1/3

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9 solutions

The total number of balls is 8 + 7 + 6 = 21 8+7+6=21

The probability that it is either red or green is P = 8 21 + 6 21 = 2 3 P=\dfrac{8}{21}+\dfrac{6}{21}=\dfrac{2}{3}

Therefore, the probability that it is neither red nor green is 1 2 3 = 1-\dfrac{2}{3}= 1 3 \color{#D61F06}\large \boxed{\dfrac{1}{3}}

Jenny Smallwood
Aug 21, 2014

If the ball is neither red nor green it must be blue. There are 21 balls in total of which 7 are blue. Therefore the probability of picking a blue ball is 7/21 which simplifies to 1/3.

Mohammad Khaza
Jul 1, 2017

Total number of balls = (8 + 7 + 6) = 21.

total green and red balls=8+6=14

so, the probability is (21-14)/21=3

Jason Hortelano
Nov 3, 2017

Probability that it is neither red nor green is 1-(8/21 +6/21) = 1/3

Pijush Biswas
Aug 25, 2014

The ball must be blue.so,7/total number of ball=7/21=1/3

Kenneth Gravamen
Aug 19, 2014

Total number of balls = (8 + 7 + 6) = 21.

Let E = event that the ball drawn is neither red nor green = event that the ball drawn is blue. n(E) = 7.

P(E) = n(E) = 7 = 1 . n(S) 21 3

Annie Li
Apr 10, 2017

if the ball is neither red or green, it must be blue and the number of blue balls is 7 so 7 21 \frac{7}{21} which equals to one third

P r e d = P_{red} = 8 21 \frac{8}{21}

P g r e e n = P_{green} = 6 21 \frac{6}{21}

P r e d o r g r e e n = P_{red or green} = 8 21 + 6 21 = \frac{8}{21}+\frac{6}{21}= 14 21 \frac{14}{21}

P n o t r e d o r n o t g r e e n = 1 P_{not red or not green} =1- 14 21 = \frac{14}{21}= 1 3 \frac{1}{3}

Krishna Garg
Aug 22, 2014

Since total no of balls are 21mand 7 balls are blue therefore probability while picking one ball which is neigher red or green is 7/21 =1/3 Ans K.K.GARg,India

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