Exhaustive Events

Q. I throw a coin once
Event X= {Head will appear}
Event Y = {Tail will appear}
X and Y are not exhaustive events

1. True
2. False

Q.

A series with three matches between India and South Africa is about to start. Consider the three events associated with the result of the match.
A. SA wins at least two matches
B. SA wins exactly one match
C. SA wins no match

Statement: The three events A, B and C are mutually exclusive and exhaustive events.

1. True

2. False

Q. A sample space S is given as S = {1, 2, 3, 4, 5, 6, 7}
Following events are described for this sample space.
Event X = {1, 2, 3}
Y = {3, 4, 5}
Z = {5, 6}
Events X , Y and Z are exhaustive events.

1. True
2. False

Q.

A dice is rolled and two events P and Q are given as
P = {1, 4, 3, 5}, Q = {2, 6}

Which of the following describes the relation between P and Q?

1. Mutually exclusive events

2. Exhaustive events

3. Simple events

4. Compound events

Q. Let sample space, S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Let us define the following events
A: "set of numbers divisible by 2".
B: "set of numbers divisible by 3".
Then what should be the event C such that events A, B and C are mutually exhaustive?

1. {1, 6, 9}
2. {1, 5, 7}
3. {7, 0, 5}
4. {4, 8, 9}