Mutually Exclusive and Non Mutually Exlusive Probabilities

Front

What is the probability of not rolling a 2 on a six-sided die?

Back

5/6

Front

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

Back

4/8 + 4/8 - 2/8

Front

What are mutually exclusive events?

Back

Events that cannot happen at the same time.

Front

When rolling a single die, are rolling an even number and rolling a ‘5’ mutually exclusive?

Back

Yes, they are mutually exclusive.

Front

Are rolling a prime number and rolling an even number on a normal six-sided die mutually exclusive?

Back

No, they are not mutually exclusive.

Front

Define mutually exclusive events.

Back

Events that cannot occur simultaneously.

Front

Define non-mutually exclusive events.

Back

Events that can occur at the same time.

Front

If P(A) = 1/4 and P(B) = 1/3, what is P(A or B) if A and B are mutually exclusive?

Back

P(A or B) = P(A) + P(B) = 1/4 + 1/3 = 7/12.

Front

If P(A) = 1/4 and P(B) = 1/3, what is P(A or B) if A and B are not mutually exclusive?

Back

P(A or B) = P(A) + P(B) - P(A and B).

Front

What is the probability of rolling a number less than 4 on a six-sided die?

Back

3/6 or 1/2.