Question

Which of the following is/are simple event?

• A. While throwing a die an even prime number turns up
• B. While throwing a die, an even or odd number turns up
• C. In a football match, a draw happens. (when we are considering results of that match)
• D. Two heads occur while throwing a coin twice

Answer 1

Answer: (A), (C), (D)

Two heads occur while throwing a coin twice

A simple event is defined as the event which has only one outcome associated with that. So, we just have to look for the events which have one outcome.
(A) The only even prime number is 2. So the outcome of the event is {2}. $\Rightarrow$ simple event
(B) An even or odd number turns up. Since any number out of 1, 2, 3, 4, 5, and 6 satisfies this, the number of outcomes associated with this event is 6. $\Rightarrow$ not a simple event
(C) The three outcomes related to the result of a match are {Team A wins, Team B wins, Draw}. But our event is it is a draw. $\Rightarrow$ only one element $\Rightarrow$ simple
(D) The outcome associated with this event is {T, T}

$\Rightarrow$ Only one element $\Rightarrow$ simple event