Probability Test

Result

Probability Test - 32

Score
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Weekly Quiz Competition

Question 1
4 / -1

A
3

B
1

C
4

D
2
Question 2
4 / -1

At a telephone enquiry system, the number of phone calls regarding relevant enquiry follow Poisson distribution with an average of 5 phone calls during 10 min time intervals. The probability that there is atmost one phone call during a 10 min time period, is

A
5/6

B
6/55

C
6/e⁵

D
6/5^e
Question 3
4 / -1

A
2/3

B
4/9

C
8/27

D
16/81
Question 4
4 / -1

An urn contains 4 white and 3 red balls. Three balls are drawn with replacement from this urn. Then, the standard deviation of the number of red balls drawn is

A
6/7

B
36/49

C
5/7

D
25/49
Question 5
4 / -1

3 distinct integers are selected at random from 1, 2, 3,…, 20. The probability that the sum is divisible by 5 is

A

B

C

D
None of these

Solution
Question 6
4 / -1

A car is parked among N cars standing in a row, but not at either end. On his return, the owner finds that exactly r of the N places are still occupied. The probability that both the places neighbouring his car are empty is

A

B

C

D
None of these

Solution
Question 7
4 / -1

A fair coin is tossed 12 times. The probability that two heads do not occur consecutively is

A

B

C

D
None of these

Solution
Question 8
4 / -1

There are m persons sitting in a row. Two of these are selected at random. The probability that the two selected persons are not to-gether is

A

B

C

D

Solution
Question 9
4 / -1

A coin is tossed 30 times. For n = 1, 2,…, 20, the probability that 10 + n tosses will result in heads given that heads appeared at least m times is equal to

A

B

C

D
None of these

Solution
Question 10
4 / -1

A person throws two dice, one the common cube, and the other a regular tetrahedron, the number on the lowest face being taken in the case of tetrahedron. The probability that the sum of the numbers appearing on the dice is 6, will be

A

B

C

D
None of these

Solution