Question

suppose you roll a standard number cube once. Are rolling a 4 and rolling a 3 mutually exclusive events? Explain

Answer 1

The answer to the above question is Yes. They are mutually exclusive events.

The mutually exclusive events are events which cannot occur at the same time. Suppose, you toss a coin, there cannot be head and tails both as outcomes at the same time. So, occurring of heads and tails on a coin when tossed, is an example of mutually exclusive event.

Similarly, when you roll a cube, you can never have two numbers together on the cube as outcome. So, rolling a 4 and rolling a 3 on a standard number cube is a mutually exclusive events.

Answer 2

Yes, they are. Each time you roll a cube, you can only get one number, you cannot get both at once.