Answer:
Given that,
On rolling a standard number cube once,
Are getting a 4 and getting a 3 mutually exclusive events
From the definition, we know that,
In probability theory, two events are said to be mutually exclusive if they cannot occur at the same time or simultaneously. In other words, mutually exclusive events are called disjoint events.
Let A be the event of getting 4, we get
A={4}
n(A)=1
Let B be the event of getting 3, we get
B={3}
n(B)=1
On rolling a cube, A and B cannot occur at the same time or simultaneously.So, rolling a 4 and rolling a 3 on a standard number cube is a mutually exclusive events.
Answer is: Rolling a 4 and rolling a 3 on a standard number cube is a mutually exclusive events.