Probability Test

Result

Probability Test - 76

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Weekly Quiz Competition

Question 1
4 / -1

If A and B are two events, then the probability of the event that at most one of A, B occurs, is

A

B

C

D
All of the above
Question 2
4 / -1

For any events A and B in a sample space

A

B

C

D
None of the above

Solution
Question 3
4 / -1

Urn A contains 6 red and 4 black balls and urn B contains 4 red and 6 black balls. One ball is drawn at random from urn A and placed in urn B. Then one ball is drawn ball is now drawn at random from urn A, the probability that it is found to be red, is

A

B

C

D
None of these

Solution
Question 4
4 / -1

A

B

C

D
All of these

Solution
Question 5
4 / -1

Consider 5 independent Bernoulli’s trials each with probability of success p. If the probability of at least one failure is greater than or equal to 31/32, then p lies in the interval

A

B

C

D

Solution
Question 6
4 / -1

A

B

C

D

Solution
Question 7
4 / -1

One bag contains 5 white and 4 black balls. Another bag contains 7 white and 9 black balls. A ball is transferred from the first bag to the second and then a ball is drawn from second. The probability that the ball is white is

A

B

C

D

Solution
Question 8
4 / -1

Two numbers are selected at random from the numbers 1, 2, …n. The probability that the difference between the first and second is not less than m (where 0 < m < n) is

A

B

C

D

Solution
Question 9
4 / -1

Three groups A, B, C are competing for positions on the Board of directors of a company. The probabilities of their winning are 0.5, 0.3, 0.2 respectively. If the group A wins, the probability of introducing a new product is 0.7 and the corresponding probabilities for group B and C are 0.6 and 0.5 respectively. The probability that the new product will be introduced is

A
0.18

B
0.35

C
0.10

D
0.63

Solution
Question 10
4 / -1

A
I only

B
I and II

C
I and III

D
II and III

Solution