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Statistics Review!
Basic
Probabilit
y
Venn
Diagrams
Tree
Diagrams
Conditional
Probability
Some
formulas
Lattice
Diagrams
Let’s play
cards
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100
Basic Probability
100
A bag contains some sweets. There 4
toffees, 2 fruit jellies and 2
chocolates. Two sweets are picked at
random. What is the
probability that the two sweets of the
same type?
200
Topic 1
200
What is the probability of
choosing the letter i from the
word probability?
300
Topic 1
300
Numbers from 1-50 are
written on pieces of paper.
What is the probability of
drawing a multiple of 12?
400
Topic 1
400
A single die is rolled. Find the probability of
getting either an odd number or a 3?
500
Topic 1
500
You roll two dice. What is the probability that
the sum is a 6?
100 Topic 2 100
The sample space S contains
two events A and B (Venn
Diagram). Shade the region
of the Venn Diagram
representing: A Ç B
200
Venn Diagrams
200
In a class of 29 students, 22 study
Chemistry, 21 study History and 3 study
neither. Draw a Venn Diagram representing
this situation. Determine the probability that
the student:
a)
studies both subjects
300
Topic 2
300
The sample space S contains two
events A and B (Venn Diagram).
Shade the region of the Venn
Diagram representing: A Ç B
400
Topic 2
400
50 students went bushwalking. 23 get
sunburnt, 22 get bitten by ants, and 5
very unhappy people are BOTH
sunburnt and get bitten by ants.
Determine the probability that a
randomly selected student was either
bitten or sunburnt.
500
Topic 2
500
In a class of 40 students, 19 play
tennis, 20 play netball, 8 do not
play either of these sports.
Determine the probability that the
student plays tennis.
100
Tree Diagrams
100
Carl is not having much luck lately.
His car will only start 80% of the time
and his motorbike will only start 60%
of the time.
Determine the probability that both
will start.
200
Topic 3
200
Consider a box containing 3 red, 2 blue and 1
yellow marble. We pick two marbles (one at
a time). What is the probability of getting two
different colors: (with replacement)
300
Topic 3
A bag contains four red and two
blue marbles. Three marbles are
selected without replacement.
Determine the probability that:
a) all are red
300
400
Topic 3
400
A family is planning on having three children.
What is the probability that the oldest child will
be a girl?
500
Topic 3
500
What is the probability that a
family with four children
will have 3 boys and a girl?
100
Topic 4
100
200
Topic 4
200
We roll a die. Given we
know the face showing is
an even number, what is
the probability it is 3?
300
Topic 4
300
What is the probability that a randomly selected
student is a female given that the person has
their Master’s?
400
Topic 4
400
If we randomly select a student, what is
probability of the person being a professional
given she is a female?
500
Topic 4
500
100
Topic 5
If P(R)= 0.4, P(S) = 0.5 and
P(R È S) = 0.7
a) Are they independent
events?
100
200
Topic 5
200
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. What is the
probability that a person will be entertained by
either books or TV?
300
Topic 5
P(A) = 0.4
P(B) = 0.3
Find P(A È B)
If A and B are mutually
exclusive
300
400
Topic 5
400
500
Topic 5
500
100
Topic 6
100
You are rolling two dice. Find the
probability that the sum is an odd
number.
200
Topic 6
You are rolling two dice.
What is the probability the
sum is a multiple of 4?
200
300
Topic 6
300
You are rolling two dice. Find
the probability the sum is an
even prime number?
400
Topic 6
400
Two dice are rolled and the sum of
the two numbers that face up is
recorded. Find the probability that
the sum of the two numbers is more
than 3 but less than 8.
500
Topic 6
500
You are rolling two dice. Find the
probability that the sum is a factor of
12.
100
Topic 7
You pick a card.
What is the
probability it is a red
face card?
100
200
Topic 7
200
You pick a card. What is
the probability that it is
an ace or a two?
300
Topic 7
You are picking two
cards. What is the
probability that they
are both aces?
(without replacement)
300
400
Topic 7
You are drawing a
card. What is the
probability it is a
heart given we know
it is a 2?
400
500
Topic 7
500
You are drawing card. What is the probability
that the card is a 4 given we know it is a heart or
a spade?
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Daily Double
Daily Double
Daily Double
Daily Double
Daily Double