Ans. (i) 24/210 (ii) 13/14 (iii) 2/5 Q.17 An urn contains 8 red, 3 white and 2 blue balls. If 3 balls are drawn at randor determine the probability that (i) all 3 are red (ii) all 3 are white (iii) 2 are r and 1 is blue (iv) at least one is white (v) the balls are drawn in the order, r white and blue. (ii) 1/286 (iii) 28/143 (iv) 83/143 (v) 4/143

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326
Q.14 A bag contains 4 white and 2 black balls. Two balls are selected at random
[C
space of all possible outcomes.
(1) both are white (ii) both have the same colour (iii) both have different colours.
Ans. (i) 2/5
(ii). 7/15
(iii) 8/15
drawn at
Q.15 A bag contains 7 white, 5 black and 4 red balls. If two balls are
random, find the probability that (i) both the balls are white (11) one is black
and other is red.
Ans. (i) 7/40. (ii) 1/6
Q.16 A committee of 4 people is to be appointed from 3 officers of the production
department, 4 officers of the purchase department. 2 officers of tne sales
department and 1 chartered accountant. Find the probability of forming the
committee in the following manner:
There must be one from each category.
(i)
(ii) It should have at least one from the purchase department.
(iii) The chartered accountant must be in the committee.
Ans. (i) 24/210
(ii) 13/14
(iii) 2/5
Q.17 An urn contains 8 red, 3 white and 2 blue balls. If 3 balls are drawn at random,
determine the probability that (i) all 3. are red (ii) all 3 are white (iii) 2 are reč
and 1 is blue (iv) at least one is white (v) the balls are drawn in the order, red
white and blue.
(iii) 28/143
(iv) 83/143 (v) 4/143
Ans. (i)
Q.18 Six cards are drawn at random from a deck of 52 cards. What is the probabili
that 3 are red and 3 are black?
28/143
(ii) 1/286
Ans. 0.332
Q.19 If the probability of a horse A winniing a race is 175 and that of a horse E
1/6, what is the probability that one of them wins?
Ans. 11/30
Q.20 A coin and a die are thrown together. Find the chance of throwing a head ar
or a tail and 6.
Ans. 1/6
Ans. 1/4
Q.22 Two fair coins are tossed. Let A denote the event "both faces
random, find the that (i) the balls are (ii) is black
(i) both are white (ii) both have the (iii) both have colours.
Are A and B
Transcribed Image Text:326 Q.14 A bag contains 4 white and 2 black balls. Two balls are selected at random [C space of all possible outcomes. (1) both are white (ii) both have the same colour (iii) both have different colours. Ans. (i) 2/5 (ii). 7/15 (iii) 8/15 drawn at Q.15 A bag contains 7 white, 5 black and 4 red balls. If two balls are random, find the probability that (i) both the balls are white (11) one is black and other is red. Ans. (i) 7/40. (ii) 1/6 Q.16 A committee of 4 people is to be appointed from 3 officers of the production department, 4 officers of the purchase department. 2 officers of tne sales department and 1 chartered accountant. Find the probability of forming the committee in the following manner: There must be one from each category. (i) (ii) It should have at least one from the purchase department. (iii) The chartered accountant must be in the committee. Ans. (i) 24/210 (ii) 13/14 (iii) 2/5 Q.17 An urn contains 8 red, 3 white and 2 blue balls. If 3 balls are drawn at random, determine the probability that (i) all 3. are red (ii) all 3 are white (iii) 2 are reč and 1 is blue (iv) at least one is white (v) the balls are drawn in the order, red white and blue. (iii) 28/143 (iv) 83/143 (v) 4/143 Ans. (i) Q.18 Six cards are drawn at random from a deck of 52 cards. What is the probabili that 3 are red and 3 are black? 28/143 (ii) 1/286 Ans. 0.332 Q.19 If the probability of a horse A winniing a race is 175 and that of a horse E 1/6, what is the probability that one of them wins? Ans. 11/30 Q.20 A coin and a die are thrown together. Find the chance of throwing a head ar or a tail and 6. Ans. 1/6 Ans. 1/4 Q.22 Two fair coins are tossed. Let A denote the event "both faces random, find the that (i) the balls are (ii) is black (i) both are white (ii) both have the (iii) both have colours. Are A and B
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