Mutually Exclusive and Inclusive Events

If you draw one card from a standard deck, what is the probability of drawing a spade or a red card?  Are the events inclusive or mutually exclusive?

• Inclusive
• Mutually exclusive

Two events are mutually exclusive if:

• they cannot happen at the same time
• they can happen at the same time
• they always happen 
• they never happen 

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

• Inclusive
• Mutually Exclusive

Which formula do you use when two events are mutually exclusive?

• P(A or B) = P(A) + P(B)
• P(A or B) = P(A) + P(B) - P(both)
• P(A and B) = P(A) * P(B)
• P (A and B) = P(A) * P(B|A)

Which formula do you use when two events are NOT mutually exclusive?

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

• P(A and B) = P(A) * P(B)
• P (A and B) = P(A) * P(B|A)

If you are picking a card randomly from a deck of cards, the events of picking a jack and picking a heart are mutually exclusive.

• True

• False

Which of the following shows how to determine P(packers or male)?

• 75/150 + 90/150 - 50/150
• 75/150 + 35/150 - 25/150
• 50/150 + 40/150 + 25/150
• 90/150 + 50/150 - 75/150

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

If you roll one die, what is the probability of getting an odd number or a 4?

• 2/3
• 1/3
• 1/2
• 1/6

Which of the following shows how to determine P(shaded number or number less than five)?

• 4/8 + 4/8 - 2/8
• 4/9 + 2/8 - 4/8
• 4/8 + 6/8 + 2/8
• 2/8 + 4/8 - 4/8