A bag contains 16 coloured balls. Six are green, 7 are red and 3 are white. A ball is chosen, without looking into the bag. Find the probability that the ball chosen is :
(i) red
(ii) not red
(iii) white
(iv) not white
(v) green or red
(vi) white or green
(vii) green or red or white

Question

A bag contains 16 coloured balls. Six are green, 7 are red and 3 are white. A ball is chosen, without looking into the bag. Find the probability that the ball chosen is :
(i) red
(ii) not red
(iii) white
(iv) not white
(v) green or red
(vi) white or green
(vii) green or red or white

KnowledgeBoat · Accepted Answer

There are 16 coloured balls. ∴ No. of possible outcomes = 16. (i) There are 7 red balls. ∴ No. of favourable outcomes = 7 P(drawing a red ball) = . Hence, the probability of drawing a red ball = . (ii) There are 9 non red balls (6 green + 3 white). ∴ No. of favourable outcomes = 9 P(not drawing a red ball) = . Hence, the probability of not drawing a red ball = . (iii) There are 3 white balls. ∴ No. of favourable outcomes = 3 P(drawing a white ball) = . Hence, the probability of drawing a white ball = . (iv) There are 13 non white balls (6 green + 7 red). ∴ No. of favourable outcomes = 13 P(not drawing a white ball) = . Hence, the probability of not drawing a white ball = . (v) Since, there are only 3 coloured (red, green and white) balls. We can say that, P(drawing a green or red ball) = P(not drawing a white ball) = . Hence, the probability of drawing a green or red ball = . (vi) Since, there are only 3 coloured (red, green and white) balls. We can say that, P(drawing a white or green ball) = P(not drawing a red ball). From part (ii), P(not drawing a red ball) = . ∴ P(drawing a white or green ball) = . Hence, the probability of drawing a white or green ball = . (vii) There are 6 green, 7 red and 3 white balls. ∴ No. of favourable outcomes = 16. P(drawing a green or red or white ball) = = 1. Hence, the probability of drawing a green or red or white ball = 1.

Mathematics

A bag contains 16 coloured balls. Six are green, 7 are red and 3 are white. A ball is chosen, without looking into the bag. Find the probability that the ball chosen is :
(i) red
(ii) not red
(iii) white
(iv) not white
(v) green or red
(vi) white or green
(vii) green or red or white

Probability

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Mathematics

A bag contains 16 coloured balls. Six are green, 7 are red and 3 are white. A ball is chosen, without looking into the bag. Find the probability that the ball chosen is :(i) red(ii) not red(iii) white(iv) not white(v) green or red(vi) white or green(vii) green or red or white

Probability

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