Probability

Set 1

100

A way of visualising all the possible outcomes of rolling two dice using two axes

What is a possibility space diagram

100

Events that, when combined, form the entire possibility space

What are exhaustive events

200

In a group of 50 students, 35 drive to school, 20 walk to school and 10 do both. How many students neither walk nor drive to school?

What is 5.

400

For an event A, P(A) = 0.4. Event B is independent of A and the probability of the union P(A U B) = 0.7.

Find P(B)

What is 0.5 or 1/2.

Set 2

100

A repeatable, random process with a well-defined set of outcomes.

What is a statistical (or random) experiment.

100

A well-defined collection of outcomes of an experiment

What is an event

200

In a group of 50 students, 35 drive to school, 20 walk to school and 10 do both. 

What is the probability that a student walks or drives to school?

What is 45/50 = 9/10

Set 3

100

Probabilities can be represented as fractions, ratios, decimals or__________.

What are percentages.

100

The set of ways in which a given event, A, does NOT occur in a given possibility space.

What is 'A-complement'

200

How many 6-character passwords could be generated using the set {'a', 'b', 'c', 1, 2, 3} without repeating any character in a given password?

What is 6! = 720

Set 4

100

It is found that, whether or not event Q occurs, event R has a probability of 0.3.

Therefore, events Q and R are _________.

What is 'independent'

100

1 - P(A)

What is the probability of A-complement

200

What is the probability that, when two tetrahedral dice are rolled (each numbered 1, 2, 3, 4), EXACTLY one die shows 4?

What is 6/16 = 3/8

Set 5

100

Events that cannot occur together

What is 'Mutually Exclusive'

100

If a sample space, S = {'green', 'blue', 'white', 'orange', 'purple'} and events:

A = {'blue', 'white', 'orange'}

B = {'green', 'blue', 'purple'}

By considering the union of A and B, describe the relationship between the two events.

What is 'exhaustive'.

200

Two non-empty events, A and B, are independent. 

Hence, state two equalities that must, therefore, hold.

Any two of the following:

1. P(A|B) = P(B)

2. P(B|A) = P(A)

3. P(A and B) = P(A) x P(B)