Disjoint and Overlapping Events

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 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

Events that have one or more outcomes in common.

• Compound

• Simple

• Disjoint

• Overlapping

Another word that means mutually exclusive is where the probability of them both occurring at the same time is 0.

• Overlapping

• Disjoint

• Independent

• Dependent

What is P(A or B) if P(A) = 1/4 and P(B) = 1/2, where A and B are overlapping events and P(a and B) = 1/8?

• 1/7

• 1/12

• 5/8

• 1/2

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

When rolling a single die, the events of rolling an odd number and rolling a prime number are:

• Disjoint

• Overlapping

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

• Disjoint

• Overlapping

What it the P(greater than 2 or even)?

• Disjoints Events

• Overlapping Events

• Independent Events

• Dependent Events

Consider the table shown. It records the results of a survey of doctors. If you pick a doctor at random from the set represented by this table, find the probability that the selected doctor is either female or a non-specialist.

• 65.2%

• 80%

• 20%

• 34.8%