HackerRank Probability Quiz -1

Question 1

Time: 00:00:00
In a collection of books, there are 5 French and 6 English books. Rohan picks a book at random, then find the probability that he picks an English book.

5/11

5/11

6/11

6/11

2/10

2/10

None of these

None of these

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Question 2

Time: 00:00:00
The names of five students from House Violet, six from House Indigo, and seven from House Blue at Birla Bharati School were chosen. Each of the 18 participants was a different genre. One name was chosen again, and it was discovered that it belonged to House Indigo. What were the chances that it was the House Indigo's youngest student?

1/5

1/5

2/3

2/3

1/6

1/6

1/4

1/4

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Question 3

Time: 00:00:00
Anita has a sack full of 35 balls in three different colours: Cyan, Blue, and Green. The proportion of Cyan to Blue balls is 3:2, and the chance of selecting a Green ball is 3/7. What is the likelihood that one ball is Blue and the other is Green if Anita picks two balls from the sack?

24/119

24/119

25/112

25/112

20/19

20/19

None of the above

None of the above

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Question 4

Time: 00:00:00
In a big shopper, Rajesh has a total of 18 balloons. Six of them are pink in colour, four are yellow, and eight are black in colour. What is the chance that Rajesh will choose three balloons at random from the big shopper and none of them will be the same colour?

43/50

43/50

46/51

46/51

1/3

1/3

1/8

1/8

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Question 5

Time: 00:00:00
If two unbiased dice are rolled together, then find out the probability to get a number whose product is an even number?

1/4

1/4

2/3

2/3

3/4

3/4

1/5

1/5

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Question 6

Time: 00:00:00
If three coins are tossed together, then find out the probability of getting at most two heads.

1/8

1/8

1/3

1/3

7/8

7/8

None of these

None of these

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Question 7

Time: 00:00:00
Aliya and Yuvan are collaborating on a game of Chess. Aliya is aware of the two rows in which she must arrange all of the pieces, but she is unsure of how to do so. What are the

\frac{(8 \times8!)}{16!}

\frac{(8 \times8!)}{16!}

\frac{(8 \times 8!)}{12!}

\frac{(8 \times 8!)}{12!}

\frac{(7 \times 8!)}{10!}

\frac{(7 \times 8!)}{10!}

\frac{(6 \times 8!)}{6!}

\frac{(6 \times 8!)}{6!}

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Question 8

Time: 00:00:00
Anuja, a toddler, uses six different colours to paint the six faces of a cube: violet, indigo, blue, purple, yellow, and magenta. What are the chances that violet, blue, and indigo faces will share a corner?

1/2

1/2

1/3

1/3

1/4

1/4

1/5

1/5

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Question 9

Time: 00:00:00
If a coin is flipped four times in repetition, what will be the probability of getting the outputs in the order HHTH?

2/3

2/3

1/6

1/6

1/16

1/16

none of these

none of these

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Question 10

Time: 00:00:00
If two unbiased dice are rolled together, find out the probability to obtain two numbers with a sum is 6?

4/36

4/36

5/36

5/36

3/36

3/36

1/6

1/6

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["0","40","60","80","100"]
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