Pre-Calc: Mutually Inclusive and Exclusive Events

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

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

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

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

• 13/52
• 26/52
• 39/52
• Not possible

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

If you roll one die, what is the probability of getting an even number or a multiple of 3?

• 1/3
• 2/3
• 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(A or B)
• P(A and B) = P(A) * P(B)
• P (A and B) = P(A) * P(B|A)

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 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