IBM Probability Quiz -1

Question 1

Time: 00:00:00
8 chairs are numbered from 1 to 8. Two women first choose two
chairs from those marked 1to 4 and 3 men select 3 chairs from the
remaining. Find the number of possible arrangements?

1550

1550

1500

1500

1440

1440

1400

1400

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Question 2

Time: 00:00:00
A father of 6 children takes 2 of his children at a time to a
circus as often as he can, without taking the same pair of
children together more than once. How many times does the father
go to the circus?

15

15

12

12

9

9

10

10

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Question 3

Time: 00:00:00
The average length of three tapes is 6800 feet. None of the 
tapes is less than 6400 feet. What is the greatest possible
length of one of the other tapes?

5400

5400

7200

7200

7600

7600

8400

8400

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Question 4

Time: 00:00:00
A number when divisible by 50 leaves remainder 16. 
the same number when divisible by 80 leaves remainder n.
how many values can n take?

8

8

6

6

7

7

14

14

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Question 5

Time: 00:00:00
Two students have to be chosen as monitors from a class of 
36 students. In how many different ways can this be done?

72

72

630

630

1260

1260

71

71

71.5

71.5

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Question 6

Time: 00:00:00
Aniket and kumari are a married couple (dont ask me who he 
is and who she is)! They have two kids, one of them is a girl.
Assume safely that the probability of each gender is 1/2.
What is the probability that the other kid is also a girl?

1/2

1/2

1/3

1/3

2/3

2/3

2/5

2/5

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Question 7

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?

291/1100

291/1100

292/1100

292/1100

290/1100

290/1100

301/1100

301/1100

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Question 8

Time: 00:00:00
A drawer holds 4 red hates and 4 blue hates. what is the 
probability of getting exactly 3 hatesv when taking out 4
hates randomly out of the drawerband imediately returining
every hate to the drawer before taking out the next?

1/8

1/8

1/4

1/4

1/16

1/16

1/2

1/2

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Question 9

Time: 00:00:00
Alok and Bhanu play the following min-max
game. Given the expression N = 19 + X * (Y Z),
where X, Y, and Z are variables representing single digits
(0 to 9), Alok would like to maximize N
while Bhanu would like to minimize it. Towards this end,
Alok chooses a single digit number and
Bhanu substitutes this for a variable of her choice (X, Y or Z).
Alok then chooses the next value and
Bhanu, the variable to substitute the value. Finally,
Alok proposes the value for the remaining
variable. Assuming both plays to their optimal strategies,
the value of N at the end of the game would be

100

100

19

19

-62

-62

37

37

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Question 10

Time: 00:00:00
In a single throw with two dice find the probability that 
their sum is a multiple either of 3 or 4?

1/3

1/3

5/9

5/9

17/36

17/36

1/2

1/2

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["0","40","60","80","100"]
["Need more practice! \r\n","Keep trying! \r\n","Not bad! \r\n","Good work! \r\n","Perfect! \r\n"]

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