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Mettl Probability Quiz 1

Question 1

Time: 00:00:00
The names of 5 students from section A, 6 students from section B and 7 students from section C were selected. The age of all the 18 students was different. Again, one name was selected from them and it was found that it was of section B. What was the probability that it was the youngest student of section B?

$\frac{1}{18}$

$\frac{1}{18}$

$\frac{1}{15}$

$\frac{1}{15}$

$\frac{1}{6}$

$\frac{1}{6}$

$\frac{1}{12}$

$\frac{1}{12}$

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Question 2

Time: 00:00:00
A bag contains 35 balls of three different colors viz. red, orange and pink. The ratio of red balls to orange balls is 3 : 2, respectively and probability of choosing a pink ball is 3/7. If two balls are picked from the bag, then what is the probability that one ball is orange and one ball is pink?

$\frac{24}{119}$

$\frac{24}{119}$

$\frac{60}{119}$

$\frac{60}{119}$

$\frac{96}{595}$

$\frac{96}{595}$

$\frac{3}{17}$

$\frac{3}{17}$

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Question 3

Time: 00:00:00
There are a total 18 balls in a bag. Out of them 6 are red in colour, 4 are green in colour and 8 are blue in colour. If Vishal picks three balls randomly from the bag, then what will be the probability that all the three balls are not of the same colour?

$\frac{95}{102}$

$\frac{95}{102}$

$\frac{19}{23}$

$\frac{19}{23}$

$\frac{21}{26}$

$\frac{21}{26}$

$\frac{46}{51}$

$\frac{46}{51}$

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Question 4

Time: 00:00:00
Ram and Shyam are playing chess together. Ram knows the two rows in which he has to put all the pieces in but he doesn’t know how to place them. What is the probability that he puts all the pieces in the right place?

$\frac{8!}{16!}$

$\frac{8!}{16!}$

$\frac{8!}{2\times 15!}$

$\frac{8!}{2\times 15!}$

$\frac{8!}{15!}$

$\frac{8!}{15!}$

None of these

None of these

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Question 5

Time: 00:00:00
A child paints the six faces of a cube with six different colors red, blue, pink, yellow, green and orange. What is the probability that red, pink and blue faces share a common corner?

$\frac{1}{6}$

$\frac{1}{6}$

$\frac{1}{20}$

$\frac{1}{20}$

$\frac{1}{10}$

$\frac{1}{10}$

$\frac{1}{5}$

$\frac{1}{5}$

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Question 6

Time: 00:00:00
Three children took part in a racing competition in their school with their respective probabilities to reach the finishing point being 1/3, 1/5 and 1/4 respectively. What is the probability that at least one of them will finish the race?

$\frac{2}{5}$

$\frac{2}{5}$

$\frac{3}{5}$

$\frac{3}{5}$

$\frac{1}{5}$

$\frac{1}{5}$

$\frac{1}{4}$

$\frac{1}{4}$

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Question 7

Time: 00:00:00
A box contains 21 balls numbered 1 to 21. A ball is drawn and then another ball is drawn without replacement. What is the probability that both balls are even-numbered?

$\frac{2}{7}$

$\frac{2}{7}$

$\frac{8}{21}$

$\frac{8}{21}$

$\frac{3}{14}$

$\frac{3}{14}$

$\frac{5}{21}$

$\frac{5}{21}$

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Question 8

Time: 00:00:00
There are 3 green, 4 orange and 5 white color bulbs in a bag. If a bulb is picked at random, what is the probability of having either a green or a white bulb?

$\frac{3}{4}$

$\frac{3}{4}$

$\frac{2}{3}$

$\frac{2}{3}$

$\frac{4}{3}$

$\frac{4}{3}$

$\frac{2}{5}$

$\frac{2}{5}$

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Question 9

Time: 00:00:00
A box contains slips with numbers from 1 to 50 written on them. A slip is drawn and replaced. Then another slip is drawn and after replacing another slip is drawn. What is the probability that an even number appears on the first draw, an odd number on the second draw and a number divisible by 3 on the third draw?

$\frac{1}{25}$

$\frac{1}{25}$

$\frac{8}{25}$

$\frac{8}{25}$

$\frac{2}{25}$

$\frac{2}{25}$

$\frac{4}{25}$

$\frac{4}{25}$

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Question 10

Time: 00:00:00
A committee of 3 members is to be made out of 6 men and 5 women. What is the probability that the committee has at least two women?

$\frac{10}{33}$

$\frac{10}{33}$

$\frac{13}{25}$

$\frac{13}{25}$

$\frac{14}{25}$

$\frac{14}{25}$

$\frac{14}{33}$

$\frac{14}{33}$

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