# AMCAT Probability Quiz-1

Question 1

Time: 00:00:00
Anmol and Prashant were two meritorious students from their school time and started preparing for the railways exam.According to their teacher’s analysis, the probability of selection of Prashant is 0.3 and the probability of selection of Anmol is 0.4. What is the probability that any of them clears the exam?

0.38

0.38

0.37

0.37

0.42

0.42

0.46

0.46

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Question 2

Time: 00:00:00
Indian Cricket Team is on the New Zealand T20 Tour. Probability of winning for the Indian cricket team in the match is 0.26 then find the probability of not winning for the Indian team is

0.74

0.74

0.48

0.48

0.36

0.36

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Question 3

Time: 00:00:00
In a lot of rubber items, there are 4 defective items in a sample of 20 items. Find the probability that an item chosen at random is non-defective.

$\frac{3}{5}$

$\frac{3}{5}$

$\frac{4}{5}$

$\frac{4}{5}$

$\frac{2}{5}$

$\frac{2}{5}$

None

None

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Question 4

Time: 00:00:00
A car race was organized by Castrol GTX for a social cause. Probability of winning a Tesla is 1/10 and the probability of winning a Porsche car is 4/10. Find the probability that only one of them wins the Race.

1/2

1/2

1/4

1/4

2/3

2/3

3/4

3/4

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Question 5

Time: 00:00:00
A two-digit number has to be created using digits 3, 9, 1, and 8. If repetition is allowed. Then what is the probability that the number is divisible by 2?

$\frac{1}{3}$

$\frac{1}{3}$

$\frac{1}{4}$

$\frac{1}{4}$

$\frac{2}{3}$

$\frac{2}{3}$

$\frac{3}{4}$

$\frac{3}{4}$

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Question 6

Time: 00:00:00
On the newly developed racing track, three racers Charles Lecrec, Carlos Sainz and Max vestapan were being tested in a race of their new car F1-75. The odds of reaching the finish line of Charles Lecrec is 1/3, Carlos Sainz is 1/5, and Max Vestepan is 1/4. How likely is it that at least one of them will prevail in the competition?

$\frac{2}{5}$

$\frac{2}{5}$

$\frac{3}{5}$

$\frac{3}{5}$

$\frac{1}{5}$

$\frac{1}{5}$

$\frac{1}{4}$

$\frac{1}{4}$

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Question 7

Time: 00:00:00
Aman tosses a coin in every match and bets with his friends about which team is winning the match. When 4 fair coins are tossed together what is the probability of getting at least 3 heads?

$\frac{5}{16}$

$\frac{5}{16}$

$\frac{3}{4}$

$\frac{3}{4}$

$\frac{1}{14}$

$\frac{1}{14}$

$\frac{3}{8}$

$\frac{3}{8}$

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Question 8

Time: 00:00:00
Anita decides to select one volunteer from each class.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 9

Time: 00:00:00
Kalam and Dhruv are playing chess together. Kalam 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 10

Time: 00:00:00
A black scary box contains 4 tennis balls, 6 season and 8 dues balls. 3 balls are randomly drawn from the box. What is the probability that the balls are different?

$\frac{4}{17}$

$\frac{4}{17}$

$\frac{3}{11}$

$\frac{3}{11}$

$\frac{2}{13}$

$\frac{2}{13}$

$\frac{5}{17}$

$\frac{5}{17}$

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