A box contains 5 red balls, 4 green balls and 7 white balls. A b

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 Multiple Choice QuestionsShort Answer Type

201. A bag contains 5 red, 4 blue and 3 green balls. A ball is taken out of the bag at random. Find the probability that the selected ball is (0 of red colour (ii) not green colour.
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202. A bag contains 4 red, 5 black and 3 yellow balls. A ball is taken out of the bag at random. Find the probability that the ball taken out is of (i) yellow colour (ii) not of red colour.
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203. A bag contains 5 red balls, 8 white balls, 4 green balls and 7 black balls. If one ball is drawn at random, find the probability that it is (i) black, (ii) red, (iii) not green.
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204. A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball from the bag is four times that of a red ball. Find the number of blue balls in the bag.
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205.

A box contains 5 red balls, 4 green balls and 7 white balls. A ball is drawn at random from the box. Find the probability that the ball drawn is
(a) White (b) neither red nor white


Number of red balls in the box = 5
Number of green balls in the box = 4
Number of white balls in the box = 7
Total number of balls in the box = 16
i.e., n (S) = 16
(i) Let A be the favourable outcomes of getting white balls, then
n(A) = 7
Therefore,

P(A) = fraction numerator straight n left parenthesis straight A right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 7 over 16

(ii) Let B be the favourable outcomes of getting neither red nor white balls, then

n(B) = 1 - P (red or white)

       = 1 - [P (red) + P (white)]

        equals space 1 space minus open square brackets 5 over 16 plus 7 over 16 close square brackets
equals space 1 minus 12 over 16 equals 4 over 16 equals 1 fourth

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206. A bag contains 5 red, 8 green and 7 white balls. One ball is drawn at random from the bag, find the probability of getting

(i) white ball or a green ball.
(ii) neither a green ball not a red ball.

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207.

Cards marked with the numbers 2 to 101 are placed in a box and mixed throughly. One card is drawn from this box. Find the probability that the number on the cards is
(i)    an even number
(ii)    a number less than 14.
(iii)    a number which is a perfect square.
(iv)    a prime n umber less than 20.

666 Views

208.

18 Cards, numbered 1, 2, 3, ..., 18 are put in a box and mixed throughly. A card is drawn at random from the box. Find the probability that the Card drawn bears
(i)    an even number
(ii)    a number divisible by 2 or 3

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209.

12 cards, numbered 1, 2,3......., 12 are put in a box and mixed throughly. A card is drawn at random from the box. Find the probability that the card drawn bears

(i)    an even number
(ii)    a number divisible by 2 or 3.

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210. Out of 400 bulbs in a box, 15 bulbs are defective. One bulb is taken out at random from the box. Find the probability that the drawn bulb is not defective.
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