and other 1 ns. (i) 7/40 .16 A committ departmen. departmen committee (i) There (ii) It shc (iii) The c ns. (i) 24/210 .17 An urn cor determine and 1 is b white and ns. (i) 28/1 2.18 Six cards a that 3 are ns. 0.332 2.19 If the prob
and other 1 ns. (i) 7/40 .16 A committ departmen. departmen committee (i) There (ii) It shc (iii) The c ns. (i) 24/210 .17 An urn cor determine and 1 is b white and ns. (i) 28/1 2.18 Six cards a that 3 are ns. 0.332 2.19 If the prob
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 50E: Flexible Work Hours In a recent survey, people were asked whether they would prefer to work flexible...
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Solve Q16
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Basic Statistics Part-1
Q.14 A bag contains 4 white and 2 black balls. Two balls are selected at random
without replacement. Find the following probabilities after making the sample
space of all possible outcomes.
(i) both are white (ii) both have the same colour (iii) both have different colours.
Ans. (i) 2/5
(ii) 7/15
(iii) 8/15
Q.15 A bag contains 7 white, 5 black and 4 red balls If two balls are drawn at
random, find the probability that (i) both the balls are white (ii) 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 the 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)
It should have at least one from the purchase department.
(ii)
(iii) The chartered accountant must be in the committee.
Ans. (i) 24/210
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 rec
and 1 is blue (iv) at least one is white (v) the balls are drawn in the order, red
white and blue.
(ii) 13/14
(iii) 2/5
(iii) 28/143
Q.18 Six cards are drawn at random from a deck of 52 cards. What is the probabili
Ans. (i)
28/143
(ii) 1/286
(iv) 83/143 (v) 4/143
that 3 are red and 3 are black?
Ans. 0.332
Q.19 If the probability of a horse A winning a race is 1/5 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 bead er
or a tail and6.
Ans. 1/6
Ans. 1/4
d". Are A and B.
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