Set 1
A way of visualising all the possible outcomes of rolling two dice using two axes
What is a possibility space diagram
A repeatable, random process with a well-defined set of outcomes.
What is a statistical (or random) experiment.
Probabilities can be represented as fractions, ratios, decimals or__________.
What are percentages.
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'
Events that cannot occur together
What is 'Mutually Exclusive'
Events that, when combined, form the entire possibility space
What are exhaustive events
A well-defined collection of outcomes of an experiment
What is an event
The set of ways in which a given event, A, does NOT occur in a given possibility space.
What is 'A-complement'
1 - P(A)
What is the probability of A-complement
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'.
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.
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
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
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
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)
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.