# TCS Digital Probability Question Quiz -1

Question 1

Time: 00:00:00
$\frac{2}{3}$rd of the balls in a bag are blue, the rest are pink. if $\frac{5}{9}$th of the blue balls and $\frac{7}{8}$th of the pink balls are defective, find the total number of balls in the bag given that the number of non-defective balls is 146.

216

216

432

432

649

649

578

578

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Question 2

Time: 00:00:00
100 students appeared for two different examinations 60 passed the first,50 the second and 30 both the examinations.Find the probability that a student selected at random failed in both the examination?

0.8

0.8

0.2

0.2

0.6

0.6

0.7

0.7

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Question 3

Time: 00:00:00
From a bag containing 8 green and 5 red balls, three are drawn one after the other .the probability of all three balls beings green if the balls drawn are replaced before the next ball pick and the balls drawn are not replaced, are respectively?

$\frac{521}{2197},\frac{336}{2197}$

$\frac{521}{2197},\frac{336}{2197}$

$\frac{336}{2197},\frac{512}{1716}$

$\frac{336}{2197},\frac{512}{1716}$

$\frac{512}{2197},\frac{336}{1716}$

$\frac{512}{2197},\frac{336}{1716}$

$\frac{336}{1716},\frac{512}{1716}$

$\frac{336}{1716},\frac{512}{1716}$

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Question 4

Time: 00:00:00
A bag contains 8 white balls and 3 blue balls. Another bag contains 7 white and 4 blue balls. What is the probability of getting blue ball?

$\frac{7}{22}$

$\frac{7}{22}$

$\frac{3}{7}$

$\frac{3}{7}$

$\frac{7}{25}$

$\frac{7}{25}$

$\frac{7}{15}$

$\frac{7}{15}$

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Question 5

Time: 00:00:00
There are two bags, one of which contains 5 red and 7 white balls and the other 3 red and 12 white balls. A ball is to be drawn from one or other of the two bags ; find the chances of drawing a red ball.

$\frac{37}{120}$

$\frac{37}{120}$

$\frac{55}{102}$

$\frac{55}{102}$

$\frac{17}{21}$

$\frac{17}{21}$

$\frac{7}{8}$

$\frac{7}{8}$

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Question 6

Time: 00:00:00
On a toss of two dice, A throws a total of 5. Then the probability that he will throw another 5 before he throws 7 is?

0.50

0.50

0.45

0.45

0.40

0.40

0.60

0.60

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Question 7

Time: 00:00:00
3 dice are rolled. What is the probability that you will get the sum of the no’s as 10?

$\frac{25}{216}$

$\frac{25}{216}$

$\frac{27}{216}$

$\frac{27}{216}$

$\frac{10}{216}$

$\frac{10}{216}$

$\frac{1}{11}$

$\frac{1}{11}$

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Question 8

Time: 00:00:00
There are 5 letters and 5 addressed envelopes. If the letters are put at random in the envelops, the probability that all the letters may be placed in wrongly addressed envelopes is

$\frac{65}{120}$

$\frac{65}{120}$

$\frac{44}{120}$

$\frac{44}{120}$

$\frac{59}{120}$

$\frac{59}{120}$

$\frac{40}{120}$

$\frac{40}{120}$

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Question 9

Time: 00:00:00
Thangam and Pandiyamma go for an interview for two vacancies. The probability for the selection of Thangam is $\frac{1}{3}$ and whereas the probability for the selection of Pandiyamma is $\frac{1}{5}$ . What is the probability that none of them are selected?

$\frac{3}{5}$

$\frac{3}{5}$

$\frac{7}{12}$

$\frac{7}{12}$

$\frac{8}{15}$

$\frac{8}{15}$

$\frac{1}{5}$

$\frac{1}{5}$

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Question 10

Time: 00:00:00
A bag contains 1100 tickets numbered 1, 2, 3, ... 1100. If a ticket is drawn out of it at random, what is the probability that the ticket drawn has the digit 2 appearing on it?

$\frac{290}{1100}$

$\frac{290}{1100}$

$\frac{291}{1100}$

$\frac{291}{1100}$

$\frac{292}{1100}$

$\frac{292}{1100}$

$\frac{301}{1100}$

$\frac{301}{1100}$

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