Short Answer TypeA die is rolled once. Events A and B are:
A: Getting a number ≥ 2.
B: Getting a number ≤ 4.
Show that events A and B are exhaustive.
A coin is tossed thrice. Event A is described as:
Event A: Atmost one head is obtained. Find A'
Multiple Choice QuestionsConsider 5 independent Bernoulliís trials each with a 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
(1/2, 3/4]
(3/4, 11/12]
[0, 1/2]
[0, 1/2]
If two different numbers are taken from the set {0, 1, 2, 3, ......., 10), then the probability that their sum, as well as absolute difference, are both multiple of 4, is
7/55
6/55
14/55
14/55
For three events A, B and C,
P(Exactly one of A or B occurs)
= P(Exactly one of B or C occurs)
= P(Exactly one of C or A occurs) = 1/4and P(All the three events occur simultaneously) = 1/16.Then the probability that at least one of the events occurs, is
3/16
7/32
7/16
7/16
One ticket is selected at random from 50 tickets numbered 00, 01, 02, ... , 49. Then the probability that the sum of the digits on the selected ticket is 8, given that the product of these digits is zero, equals
1/14
1/7
5/14
5/14
The average marks of boys in a class is 52 and that of girls is 42. The average marks of boys and girls combined is 50. The percentage of boys in the class is
40
20
80
80
n(S) = n = 36
A = {(4,6), (5,5), (6,4), (6,6)} 
n(A) = m = 4
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