Probability of Disjoint and Overlapping Events

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 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 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

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?

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

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

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

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

• True

• False

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