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A bag contains 9 discs of which 4 are red. 3 are blue and 2 ar

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A bag contains 9 discs of which 4 are red. 3 are blue and 2 are yellow. The discs are similar in shape and size. A disc is drawn at random from the bag.Calculate the probability that it will be (i) red. (ii) yellow, (iii) blue, (iv) not blue,(v) either red or yellow.

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A bag contains 9 discs of which 4 are red. 3 are blue and 2 are yellow. The discs are similar in shape and size. A disc is drawn at random from the bag.Calculate the probability that it will be (i) red. (ii) yellow, (iii) blue, (iv) not blue,(v) either red or yellow.

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Solution: probability of getting any 1 disk

= \frac{1}{9}

(i)

p (r e d) = 4 \cdot \frac{1}{9} = \frac{4}{9}

(ii)

p (y e l l o w) = 2 \cdot \frac{1}{9} = \frac{2}{9}

(iii)

p (b l u e) = 3 \cdot \frac{1}{9} = \frac{3}{9} = \frac{1}{3}

(iv) p(not blue)=

1 - p (b l u e)

= 1 - \frac{1}{3} = \frac{2}{3}

(v) p(red or yellow) = p(red)+ p(yellow)

= \frac{4}{9} + \frac{2}{9} = \frac{2}{3}

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Question Text	A bag contains 9 discs of which 4 are red. 3 are blue and 2 are yellow. The discs are similar in shape and size. A disc is drawn at random from the bag.Calculate the probability that it will be (i) red. (ii) yellow, (iii) blue, (iv) not blue,(v) either red or yellow.
Answer Type	Text solution:1
Upvotes	150

A bag contains 9 discs of which 4 are red. 3 are blue and 2 are yellow. The discs are similar in shape and size. A disc is drawn at random from the bag.Calculate the probability that it will be (i) red. (ii) yellow, (iii) blue, (iv) not blue,(v) either red or yellow.

Text solutionVerified

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