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?
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?
The correct options are
A Mutually exclusive events
B Exhaustive events
We will go through the options and check if they describe the relation between P and Q.
A) Mutually exclusive
Two events P and Q are mutually exclusive if P∩Q=ϕ
In our case, P∩Q={1,4,3,5}∩{2,6}=ϕ
∴ Mutually exclusive
B) Exhaustive P and Q are exhaustive if
P∪Q = sample space
Here, P∪Q={1,4,3,5}∪{2,6}={1,2,3,4,5,6}
∴ Mutually exhaustive
C) Simple events do not describe relation between two events.
An event is said to be simple if it has only one outcome
D) Compound events
An event is called a compound event if it has more than one outcome. It does not describe relation between two events. It's defined for a single event.
A
Mutually exclusive events
B
Exhaustive events
We will go through the options and check if they describe the relation between P and Q.
A) Mutually exclusive
Two events P and Q are mutually exclusive if P∩Q=ϕ
In our case, P∩Q={1,4,3,5}∩{2,6}=ϕ
∴ Mutually exclusive
B) Exhaustive P and Q are exhaustive if
P∪Q = sample space
Here, P∪Q={1,4,3,5}∪{2,6}={1,2,3,4,5,6}
∴ Mutually exhaustive
C) Simple events do not describe relation between two events.
An event is said to be simple if it has only one outcome
D) Compound events
An event is called a compound event if it has more than one outcome. It does not describe relation between two events. It's defined for a single event.
