A bag contains 5 red balls and some blue balls. If the probabili

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
Advertisement

 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.
200 Views

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.
100 Views

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.
93 Views

Advertisement

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.


Number of red balls in the bag = 5
Let number of blue balls in the bag = x
Now, total number of balls in the bag = x + 5
i.e.,    n( S) = n + 5
(i) Let ‘A’ be the favourable outcomes of getting blue balls, then
n( A) = x
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 fraction numerator x over denominator x plus 5 end fraction

(i) Let 'B' be the favourable outcomes of getting red balls, then
n(B) = 5
Therefore,

P(B) = fraction numerator straight n left parenthesis straight B right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals fraction numerator x over denominator x plus 5 end fraction

According to question :

    P(A) = 4 P (B)
rightwards double arrow space space space space fraction numerator straight x over denominator straight x plus 5 end fraction equals 4 open parentheses fraction numerator 5 over denominator straight x plus 5 end fraction close parentheses
rightwards double arrow space space straight x space equals space 20

Hencem the number of blue balls in the bag is 20.

314 Views

Advertisement
Advertisement
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

170 Views

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.

180 Views

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

106 Views

Advertisement
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.

141 Views

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.
483 Views

Advertisement