Probability of Disjoint and Overlapping Events

If a person is selected at random from the people described by the table shown, what is the probability they will be a boy or have brown hair?

• 70%

• 95%

• 25%

• 68.5%

Consider the Venn Diagram shown. If a species is selected at random from this diagram, what is the probability it can swim or breathe air?

• 2/5

• 14/15

• 1/4

• 2/3

A bag contains 4 red, 2 blue and 3 white marbles. Two marbles are selected from this bag at random and without replacement.

What is the probability that the first marble was blue or the second marble was blue?

• 5/12

• 7/12

• 32/81

• 49/81

Consider the table shown. Assume no student is enrolled in more than one of these classes. If a student is selected at random from this table, what is the probability they are enrolled in DSA or Statistics? If necessary, round to the nearest tenth of a Percent.

• 35.7%

• 55.6%

• 40%

• 0%

A survey revealed that 34% of people are entertained by reading books, 47% are entertained by watching TV, and 19% are entertained by both books and TV. Estimate the probability that a random person in the Field of Study of this survey will be entertained by either books or TV:

• 19%

• 81%

• 62%

• 100%

A trial consists of selecting a single person from a school auditorium. Which of the following pairs of Events are likely to be disjoint (mutually exclusive)?

• Selecting a Freshman and selecting a Senior

• Selecting a boy and selecting a girl

• Selecting a Freshman and selecting a boy

• Selecting a Senior and selecting a girl

A trial consists of selecting a single day from last year at random. Which of the following pairs of Events are most likely to be overlapping?

• Selecting a sunny day and selecting a day in the summer

• Selecting a sunny day and selecting a day with a hurricane

• Selecting a snowy day and selecting a day in the summer

• Selecting a day in March and selecting a day in April

A bag contains 9 green marbles, 5 yellow marbles and 6 red marbles. You select one marble. What is the probability of selecting a green or red marble?

• 8/15

• 6/11

• 3/4

• 2/3

Five juniors and four seniors have applied for two open student council positions. School administrators have decided to pick the two new members randomly. What is the probability they are both juniors or both seniors?

• 0.444

• 0.395

• 0.569

• 0.722

• Addition of Probabilities Principle

• Venn Diagram

• Intersection

• Union