Mutually Exclusive and Overlapping Events Practice

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

• Not Mutually Exclusive 
• Mutually Exclusive

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

• 4/52
• 4/13
• 16/52
• 1/13

If you roll one die, what is the probability of getting an odd number or a 4?  Are the events inclusive or mutually exclusive?

• Not Mutually Exclusive 
• Mutually exclusive

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 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(both)
• 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 an ace and picking a ‘3’ are mutually exclusive.

• True

• False

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

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

• True

• False

When rolling a single die, the events of rolling an even number and rolling a ‘5’ are mutually exclusive.

• True

• False