Inclusive or Mutually Exclusive?

Front

What does 'mutually exclusive' mean?

Back

Two events are mutually exclusive if they cannot occur at the same time. For example, when flipping a coin, getting heads and tails are mutually exclusive outcomes.

Front

What does 'inclusive' mean in probability?

Back

Inclusive means that the events can occur at the same time. For example, selecting a red or blue marble from a bag where both colors are present is an inclusive event.

Front

If you select a thick crust pizza or a slice with pepperoni, is this event inclusive or mutually exclusive?

Back

Mutually exclusive, because you cannot have both a thick crust and a topping of pepperoni at the same time.

Front

If you select a thin crust pizza or a slice with sausage, is this event inclusive or mutually exclusive?

Back

Inclusive, because you can have a thin crust pizza with sausage as a topping.

Front

In a litter of kittens, if you can pick a black kitten or a female kitten, is this event inclusive or mutually exclusive?

Back

Inclusive, because a kitten can be both black and female.

Front

What is the probability of selecting a one or a six from a jar of numbered balls?

Back

Mutually exclusive, because you cannot select both a one and a six at the same time.

Front

If a bag contains red, blue, and yellow marbles, what is the probability of selecting a red or blue marble?

Back

Mutually exclusive, as selecting a red marble and a blue marble cannot happen simultaneously.

Front

What is an example of mutually exclusive events in a dice roll?

Back

Rolling a 2 or a 5. You cannot roll both numbers at the same time.

Front

What is an example of inclusive events in a dice roll?

Back

Rolling an even number or a number greater than 3. You can roll a 4, which is both even and greater than 3.

Front

How do you determine if two events are mutually exclusive?

Back

Check if the occurrence of one event prevents the occurrence of the other event.