Theoretical Probability
Experimental Probability
Two-way Tables
Venn Diagrams
Mr. Sweetnam
100
A fair coin is tossed 20 times. What is the theoretical probability of obtaining heads? Simplify your answer.
P(H) = 1/2
100
A die is rolled 10 times. A frequency table of the ourcomes is shown below.
Outcome 1 | 2 | 3 | 4 | 5 | 6
Frequency 3 | 1 | 1 | 1 | 0 | 4
What is the relative frequency of rolling a 6? Write your answer in correct notation.
P(6) = 4/10 = 2/5
100
Use the two-way table below to determine how many students were surveyed.
| Soccer | Tennis |
Boys | 5 | 20 | 25
Girls | 10 | 3 | 13
| 15 | 23 | 38
38 total.
100
Explain what U and ∩ mean when used in probability annotation.
U is the union of two sections, it can be said as 'or'.
∩ is the intersection and can be replaced with the word 'and'.
100
What month is Mr. Sweetnam's Bday?
November
200
A fair die is rolled. What is the probability of obtaining a number less than 5? Simplify your answer.
P(<5) = 2/3
200
If event (A) is your test falling on a Friday, list the complement of that event using correct notation.
A' = Monday, Tuesday, Wednesday, Thursday, Saturday, Sunday.
200
Using the table, what is the probability that a boy likes tennis?
| Soccer | Tennis |
Boys | 5 | 20 | 25
Girls | 10 | 3 | 13
| 15 | 23 | 38
20/25
= 4/5
200
Shade the region AUB.
Teacher to correct on board.
200
What is Mr. Sweetnam's footy team?
Cronulla Sharks
300
List the sample space of drawing from a deck of cards and noting the suit. Use correct notation.
S = {hearts, diamonds, spades, clubs}
300
A spinner numbered 1-4 was spun a certain number of times and the following results were achieved.
Outcome 1 | 2 | 3 | 4
Frequency 7 | 26 | 9 | 58
How many trials were conducted?
100 trials
(add all the frequencies)
300
There are 120 students in Year 9. 55% of them are boys. One-third of the girls don't play footy. 30 students in the entire year level don't play footy. Represent this information in a two-way table.
| Girls | Boys |
Footy | 36 | 54 | 90
Footy' | 18 | 12 | 30
| 54 | 66 | 120
300
Calculate the probability of A U B for the following Venn Diagram.
P(A U B) = 9/13
300
Name one other Location Mr. Sweetnam has lived in
Sydney, Bargara or Brisbane
400
The sum of all probabilities, theoretical and experimental should equal ___?
1
400
At a birthday party, some cans of soft drink were put in a container of ice. There were 16 cans of Coke, 20 cans of Sprite, 13 cans of Fanta, 8 cans of Sunkist and 15 cans of Pepsi.
If a can was picked at random, what is the probability that it was not a can of Fanta?
59/72
P(F') = 1 - P(F)
or P(C) + P(S) + P(Su) + P(P)
400
Use the table below to determine what is the probability the girls surveyed are right handed?
| Left Handed | Right Handed |
Boys | 17 | | 35
Girls | | |
| 29 | | 70
P(GNR) = 23/70
400
Show the apples and bananas Venn diagram in a two-way table.
| A | A' |
B | 7 | 10 | 17
B' | 12 | 4 | 16
| 19 | 14 | 33
400
How many siblings does Mr. Sweetnam have?
0, however my parents do have a dog they love very much
500
Which of these events are NOT mutually exclusive?
a) Drawing a queen and drawing a jack from 52 playing cards
b) Drawing a red card and drawing a black card from 52 playing cards
c) Drawing a vowel and drawing a consonant from cards representing the 26 letters of the alphabet
d) Obtaining a total of 8 and rolling doubles (when rolling two dice)
D. This can occur simultaneously (rolling double 4's which = 8) therefore it is not mutually exclusive.
500
Which of these is not an example of conditional probability?
a) If a student receives a B+ or better in their first Maths test, then the chance of them receiving a B+ or better in their second Maths test is 75%.
b) A group of students were asked to nominate their favourite foods. The probability they like spaghetti and lasagne was 90%.
c) Given that a red marble was picked out of the bag with the first pick, the probability of a blue marble being picked out with the second pick is 0.35.
d) Knowing that the favourite food of a student is hot chips, the probability of their favourite condiment being tomato sauce is 68%.
b.
a) contains the word "then" implying their second grade is conditional on the first.
c) "given"
d) "knowing that"
500
A coin is biased so that the chance of it falling as a Head when flipped is 0.75. What is the probability of getting 1 heads and 2 tails, when the order does not matter.
P(1H and 2T)
= P(HTT) + P(TTH) + P(THT)
= P(0.75x0.252) + P(0.252x0.75) + (0.25x0.75x0.25)
= 3 x 0.047
= 0.141
500
Using the apples and bananas Venn Diagram, explain what determining the probability of those who like bananas VS those who like bananas given they like apples would be a different result.
The answer for part a determines the proportion of students who like bananas out of the whole group of students. The part b answer gives the proportion of students who like bananas out of those who like apples.
500
What year was Mr. Sweetnam born in?
1998