Question

Is rolling doubles a simple event or compound event? Explain. (rolling double dice)

Answer 1

Answer: It is a compound event.

Step-by-step explanation:

Simple events are those events that happen at a time and having only single outcome.

Compound events are those events that happen multiple times and can have more than one outcome.

Rolling a double have outcomes as follows:

(1,1), (2,2), (3,3), (4,4), (5,5) and (6,6)

Hence, it has more than one outcome.

Therefore, It is a compound event.

Answer 2

You have to consider the sample space. In this example the sample space

is {1,2,3,4,5,6}

A simple event can be defined as a SINGLE outcome : Example getting a 3 OR 5 OR any other number from the sample space.

Now if you roll 1 dice & you want to get an even number (2,4,6) then you have chosen from the sample space 3 outcome & this is a compound event

Equally if you roll 2 dice and want to get "one" and/or "three" this is a compound event since you have chosen 2 outcome from the sample space.

Mind you, if you want 5 And 5 when rolling two dice it's a simple event because you have chosen ONE outcome from the sample space.

Hope this will help you to understand this kind of problem