Question

Students are forming 4 softball teams by each picking one of four different color cards from a bag. Are the events “choosing a red card” and “choosing a blue card” mutually exclusive? Explain why or why not.

Answer 1

When drawing one card, these are mutually exclusive.

This is because when one card is drawn, you can either draw a red or a blue, not both.

Answer 2

4 softball teams are formed by choosing different colors of cards, and then the question asks that

Are the events “choosing a red card” and “choosing a blue card” mutually exclusive?

Now as choosing a red card does not affect or depend on choosing a blue card ,

either they will choose a red card , or they will choose a blue card , none of the event will effect the other event .

Hence the events choosing a red card and choosing a blue card , both are Mutually Exclusive.