Statistics Review! Basic Probabilit y Venn Diagrams Tree Diagrams Conditional Probability Some...

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Transcript of Statistics Review! Basic Probabilit y Venn Diagrams Tree Diagrams Conditional Probability Some...

Page 1: Statistics Review! Basic Probabilit y Venn Diagrams Tree Diagrams Conditional Probability Some formulas Lattice Diagrams Let’s play cards 100 200 300.
Page 2: 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

100 100 100 100 100 100 100

200 200 200 200 200 200 200

300 300 300 300 300 300 300

400 400 400 400 400 400 400

500 500 500 500 500 500 500

Page 3: Statistics Review! Basic Probabilit y Venn Diagrams Tree Diagrams Conditional Probability Some formulas Lattice Diagrams Let’s play cards 100 200 300.

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?

Page 4: Statistics Review! Basic Probabilit y Venn Diagrams Tree Diagrams Conditional Probability Some formulas Lattice Diagrams Let’s play cards 100 200 300.

200 Topic 1 200What is the probability of choosing the letter i from the word probability?

Page 5: Statistics Review! Basic Probabilit y Venn Diagrams Tree Diagrams Conditional Probability Some formulas Lattice Diagrams Let’s play cards 100 200 300.

300 Topic 1 300

Numbers from 1-50 are written on pieces of paper. What is the probability of drawing a multiple of 12?

Page 6: Statistics Review! Basic Probabilit y Venn Diagrams Tree Diagrams Conditional Probability Some formulas Lattice Diagrams Let’s play cards 100 200 300.

400 Topic 1 400

A single die is rolled. Find the probability of getting either an odd number or a 3?

Page 7: Statistics Review! Basic Probabilit y Venn Diagrams Tree Diagrams Conditional Probability Some formulas Lattice Diagrams Let’s play cards 100 200 300.

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

Page 8: Statistics Review! Basic Probabilit y Venn Diagrams Tree Diagrams Conditional Probability Some formulas Lattice Diagrams Let’s play cards 100 200 300.

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

Page 9: Statistics Review! Basic Probabilit y Venn Diagrams Tree Diagrams Conditional Probability Some formulas Lattice Diagrams Let’s play cards 100 200 300.

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

Page 10: Statistics Review! Basic Probabilit y Venn Diagrams Tree Diagrams Conditional Probability Some formulas Lattice Diagrams Let’s play cards 100 200 300.

300 Topic 2 300

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

Page 11: Statistics Review! Basic Probabilit y Venn Diagrams Tree Diagrams Conditional Probability Some formulas Lattice Diagrams Let’s play cards 100 200 300.

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.

Page 12: Statistics Review! Basic Probabilit y Venn Diagrams Tree Diagrams Conditional Probability Some formulas Lattice Diagrams Let’s play cards 100 200 300.

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.

Page 13: Statistics Review! Basic Probabilit y Venn Diagrams Tree Diagrams Conditional Probability Some formulas Lattice Diagrams Let’s play cards 100 200 300.

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.

Page 14: Statistics Review! Basic Probabilit y Venn Diagrams Tree Diagrams Conditional Probability Some formulas Lattice Diagrams Let’s play cards 100 200 300.

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)

Page 15: Statistics Review! Basic Probabilit y Venn Diagrams Tree Diagrams Conditional Probability Some formulas Lattice Diagrams Let’s play cards 100 200 300.

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

Page 16: Statistics Review! Basic Probabilit y Venn Diagrams Tree Diagrams Conditional Probability Some formulas Lattice Diagrams Let’s play cards 100 200 300.

400 Topic 3 400

A family is planning on having three children. What is the probability that the oldest child will be a girl?

Page 17: Statistics Review! Basic Probabilit y Venn Diagrams Tree Diagrams Conditional Probability Some formulas Lattice Diagrams Let’s play cards 100 200 300.

500 Topic 3 500What is the probability that a family with four children will have 3 boys and a girl?

Page 18: Statistics Review! Basic Probabilit y Venn Diagrams Tree Diagrams Conditional Probability Some formulas Lattice Diagrams Let’s play cards 100 200 300.

100 Topic 4 100

Page 19: Statistics Review! Basic Probabilit y Venn Diagrams Tree Diagrams Conditional Probability Some formulas Lattice Diagrams Let’s play cards 100 200 300.

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?

Page 20: Statistics Review! Basic Probabilit y Venn Diagrams Tree Diagrams Conditional Probability Some formulas Lattice Diagrams Let’s play cards 100 200 300.

300 Topic 4 300

What is the probability that a randomly selected student is a female given that the person has their Master’s?

Page 21: Statistics Review! Basic Probabilit y Venn Diagrams Tree Diagrams Conditional Probability Some formulas Lattice Diagrams Let’s play cards 100 200 300.

400 Topic 4 400

If we randomly select a student, what is probability of the person being a professional given she is a female?

Page 22: Statistics Review! Basic Probabilit y Venn Diagrams Tree Diagrams Conditional Probability Some formulas Lattice Diagrams Let’s play cards 100 200 300.

500 Topic 4 500

Page 23: Statistics Review! Basic Probabilit y Venn Diagrams Tree Diagrams Conditional Probability Some formulas Lattice Diagrams Let’s play cards 100 200 300.

100 Topic 5 100If P(R)= 0.4, P(S) = 0.5 and

a) Are they independent events?

Page 24: Statistics Review! Basic Probabilit y Venn Diagrams Tree Diagrams Conditional Probability Some formulas Lattice Diagrams Let’s play cards 100 200 300.

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?

Page 25: Statistics Review! Basic Probabilit y Venn Diagrams Tree Diagrams Conditional Probability Some formulas Lattice Diagrams Let’s play cards 100 200 300.

300 Topic 5 300

P(A) = 0.4

P(B) = 0.3

Find If A and B are mutually exclusive

Page 26: Statistics Review! Basic Probabilit y Venn Diagrams Tree Diagrams Conditional Probability Some formulas Lattice Diagrams Let’s play cards 100 200 300.

400 Topic 5 400

Page 27: Statistics Review! Basic Probabilit y Venn Diagrams Tree Diagrams Conditional Probability Some formulas Lattice Diagrams Let’s play cards 100 200 300.

500 Topic 5 500

Page 28: Statistics Review! Basic Probabilit y Venn Diagrams Tree Diagrams Conditional Probability Some formulas Lattice Diagrams Let’s play cards 100 200 300.

100 Topic 6 100

You are rolling two dice. Find the probability that the sum is an odd number.

Page 29: Statistics Review! Basic Probabilit y Venn Diagrams Tree Diagrams Conditional Probability Some formulas Lattice Diagrams Let’s play cards 100 200 300.

200 Topic 6 200You are rolling two dice. What is the probability the sum is a multiple of 4?

Page 30: Statistics Review! Basic Probabilit y Venn Diagrams Tree Diagrams Conditional Probability Some formulas Lattice Diagrams Let’s play cards 100 200 300.

300 Topic 6 300You are rolling two dice. Find the probability the sum is an even prime number?

Page 31: Statistics Review! Basic Probabilit y Venn Diagrams Tree Diagrams Conditional Probability Some formulas Lattice Diagrams Let’s play cards 100 200 300.

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.

Page 32: Statistics Review! Basic Probabilit y Venn Diagrams Tree Diagrams Conditional Probability Some formulas Lattice Diagrams Let’s play cards 100 200 300.

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

Page 33: Statistics Review! Basic Probabilit y Venn Diagrams Tree Diagrams Conditional Probability Some formulas Lattice Diagrams Let’s play cards 100 200 300.

100 Topic 7 100

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

Page 34: Statistics Review! Basic Probabilit y Venn Diagrams Tree Diagrams Conditional Probability Some formulas Lattice Diagrams Let’s play cards 100 200 300.

200 Topic 7 200

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

Page 35: Statistics Review! Basic Probabilit y Venn Diagrams Tree Diagrams Conditional Probability Some formulas Lattice Diagrams Let’s play cards 100 200 300.

300 Topic 7 300

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

Page 36: Statistics Review! Basic Probabilit y Venn Diagrams Tree Diagrams Conditional Probability Some formulas Lattice Diagrams Let’s play cards 100 200 300.

400 Topic 7 400

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

Page 37: Statistics Review! Basic Probabilit y Venn Diagrams Tree Diagrams Conditional Probability Some formulas Lattice Diagrams Let’s play cards 100 200 300.

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?

Page 38: Statistics Review! Basic Probabilit y Venn Diagrams Tree Diagrams Conditional Probability Some formulas Lattice Diagrams Let’s play cards 100 200 300.

Daily Double Daily Double Daily Double Daily Double Daily Double Daily Double

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Page 39: Statistics Review! Basic Probabilit y Venn Diagrams Tree Diagrams Conditional Probability Some formulas Lattice Diagrams Let’s play cards 100 200 300.

Venn Diagrams and Set Notation - betsymccall.netbetsymccall.net/prof/courses/spring17/aacc/Venn Diagrams and Set...1 Venn Diagrams and Set Notation This handout illustrates the relationship

Venn Diagrams and Set Notation - betsymccall.netbetsymccall.net/prof/courses/spring17/aacc/Venn Diagrams and Set...1 Venn Diagrams and Set Notation This handout illustrates the relationship

Venn Diagrams Exercise2

Venn Diagrams Exercise2

Conditional Probability in Venn Diagrams

Conditional Probability in Venn Diagrams

Probability & Venn diagrams

Probability & Venn diagrams

Sets and Venn Diagrams I

Sets and Venn Diagrams I

VENN DIAGRAMS PHOEBE GYDESEN WORLD HISTORY HONORS.

VENN DIAGRAMS PHOEBE GYDESEN WORLD HISTORY HONORS.

Math unit10 logic and venn diagrams

Math unit10 logic and venn diagrams

1.1 Venn Diagrams

1.1 Venn Diagrams

Venn Diagrams: Issue One

Venn Diagrams: Issue One

Venn Diagrams and Logic Lesson 2-2. Venn diagrams: show relationships between different sets of data. can represent conditional statements.

Venn Diagrams and Logic Lesson 2-2. Venn diagrams: show relationships between different sets of data. can represent conditional statements.

Venn Diagrams

Venn Diagrams

Unit 10 – Logic and Venn Diagrams

Unit 10 – Logic and Venn Diagrams

Funny Venn Diagrams

Funny Venn Diagrams

CST 504 Venn Diagrams

CST 504 Venn Diagrams

Chapter 6 Simulation Conditional Probability Venn Diagrams Tree Diagrams.

Chapter 6 Simulation Conditional Probability Venn Diagrams Tree Diagrams.

Venn and Tree Diagrams in Probability

Venn and Tree Diagrams in Probability

sets and venn diagrams

sets and venn diagrams

Picturing Probability: the poverty of Venn diagrams, the ...rwoldfor/papers/eikosograms/paper… · Venn’s name deservesto be attached to these diagrams. Venn diagrams visually

Picturing Probability: the poverty of Venn diagrams, the ...rwoldfor/papers/eikosograms/paper… · Venn’s name deservesto be attached to these diagrams. Venn diagrams visually

Module SC Sets, Venn Diagrams & Counting › courses › mat142ej › readings › setscount.pdfvisual. For sets we use Venn diagrams. A Venn diagram is a drawing in which there is

Module SC Sets, Venn Diagrams & Counting › courses › mat142ej › readings › setscount.pdfvisual. For sets we use Venn diagrams. A Venn diagram is a drawing in which there is

Sets, Venn Diagrams & Counting

Sets, Venn Diagrams & Counting