Mutually Exclusive Event

There are four different coloured balls in a bag.

Find the probability of picking a purple ball when given the probabilities of the other colours

If A and B are mutually exclusive, which statement below must be true?

• P(A∩B) = 0

• P(A|B) = 0

• P(A∪B) = 0

• P(A) + P(B) = 0

The chance of rolling a 2 is 1/6. What is the chance of not rolling a 2?

• 2/6

• 1/6

• 5/6

• Not possible

What are mutually exclusive events?

• Events that can happen at the same time

• Events that cannot happen at the same time

• Events that add up to 100%

If you draw one card from a standard deck, what is the probability of drawing a 5 or a diamond?

• 2/52

• 4/52

• 16/52

• 26/52

Which of the following shows how to determine P(diamond or face card)?

• 13/52 + 12/52 - 3/52

• 3/52 + 13/52 -12/52

• 3/52 + 12/52 - 13/52

• 1/13 + 3/52 - 1/4

Events that cannot occur at the same time

If two events, A and B, are mutually exclusive, then the probability that either A or B occurs is the sum of their probabilities. How to write in symbols?

• P (A or B) = P(A) - P(B)

• P (A or B) = P(A) + P(B)

• P (A and B)

• P(A) + P(B)

Other term for Mutually Exclusive Events

Which of the following are mutually exclusive events when a card is drawn at random from a standard deck of 52 cards?

• A 4 or a heart

• A 4 or a jack

• A 4 or a club

• A jack or a face card