Mutually Exclusive

Front

What does 'mutually exclusive' mean in probability?

Back

Two events are mutually exclusive if they cannot occur at the same time.

Front

Are the events of picking a jack and picking a heart mutually exclusive?

Back

False

Front

Are the events of picking an ace and picking a ‘3’ mutually exclusive?

Back

True

Front

Are the events of picking a spade and picking a diamond mutually exclusive?

Back

True

Front

How do you determine P(shaded number or number less than five)?

Back

P(shaded number or number less than five) = P(shaded number) + P(number less than five) - P(shaded number and number less than five) = 4/8 + 4/8 - 2/8.

Front

When rolling a single die, are the events of rolling an odd number and rolling a prime mutually exclusive?

Back

False

Front

What is an example of mutually exclusive events?

Back

Flipping a coin and getting heads or tails.

Front

What is the probability of rolling a 2 or a 5 on a single die?

Back

P(2 or 5) = P(2) + P(5) = 1/6 + 1/6 = 1/3.

Front

If two events A and B are mutually exclusive, what is P(A and B)?

Back

P(A and B) = 0.

Front

Can two events be independent and mutually exclusive at the same time?

Back

No, if two events are mutually exclusive, the occurrence of one event affects the probability of the other.