Statistics Review! Basic Probabilit y Venn Diagrams Tree Diagrams Conditional Probability Some formulas Lattice Diagrams Let’s play cards 100 200 300.

Statistics Review!Basic

ProbabilityVenn

DiagramsTree

DiagramsConditional 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 2chocolates. Two sweets are picked at random. What is theprobability that the two sweets of the same type?

200 Topic 1 200What 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 500You roll two dice. What is the probability that the sum is a 6?

100 Topic 2 100The sample space S contains two events A and B (Venn Diagram). Shade the region of the Venn Diagram representing:

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:

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 200Consider 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 3 300

A bag contains four red and two blue marbles. Three marbles are selected without replacement. Determine the probability that:

a) all are red

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 500What 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 100If P(R)= 0.4, P(S) = 0.5 and

a) Are they independent events?

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 5 300

P(A) = 0.4

P(B) = 0.3

Find If A and B are mutually exclusive

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 200You are rolling two dice. What is the probability the sum is a multiple of 4?

300 Topic 6 300You 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 500You are rolling two dice. Find the probability that the sum is a factor of 12.

100 Topic 7 100

You pick a card. What is the probability it is a red face card?

200 Topic 7 200

You pick a card. What is the probability that it is an ace or a two?

300 Topic 7 300

You are picking two cards. What is the probability that they are both aces? (without replacement)

400 Topic 7 400

You are drawing a card. What is the probability it is a heart given we know it is a 2?

500 Topic 7 500You 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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