Topic 7-1 Understanding Likelehood and Probability
The likelihood that something will happen
What is Theoretical Probability?
The math of a predicted outcome
What is relative frequency?
Ratio of times an event occurs to a total number of trials.
What is a compound event
It is an event that consists of 2 or more events
Make a tree diagram to represent to show possible outcomes of Red-Green and Hat-Shirt
H S
R G R G
Bob will roll a dice in Monopoly to land on Park Place, he needs a 1. What is the probability of this happening if the dice is a 6 sided dice
!1/6
Show an example of 2 six sided dice rolling in a list.
1,1 1,2 1,3 1,4 1,5 1,6
2,1 2,2 2,3 2,4 2,5 2,6
3,1 3,2 3,3 3,4 3,5 3,6
4,1 4,2 4,3 4,4 4,5 4,6
5,1 5,2 5,3 5,4 5,5 5,6
6,1 6,2 6,3 6,4 6,5 6,6
If Mario and Luigi play a random chance game and the theoretical probability of winning is 1/10, how many winners could they expect out of 400 people?
They could expect 40 people to win.
Complete the diagram with 1 and 2
1
1
2
2
1 1
2
2 2
m 1
IF Jimmy goes to the carnival and there are 2 games. One is a skateboard flip and a coin toss to win a prize, another is a coin and a 4 sided spinner to win. Which one should he choose?
He should choose the skateboard flip and the coin because it has a 50 50 for both of them
If you have a bag with 20 bananas, and 4 are ripe, and if you have another bag with 30 apples where 5 are fully ripe. Which is more likely, if you pull a random fruit, to be ripe
The bag of 20 bananas is more likely to be ripe
A spinner has 76 sections numbered 1-76, you have to land on a 6 to win, what is the theoretical probability that this will happen?
8%
if on the second day of this game with Mario and Luigi, they recorded 84/1400 winners. How does this compare to the 40/400 ratio mentioned earlier
The theoretical probability is 10% while the actual results are 21%
make an orginized list for a 4 sided dice and a coin toss
H,1 T,1
H,2 T,2
H,3 T,3
H,4 T,4
Harry plays a game. The 2 spinners of 9 and 3 sides show results of the spinners combinations. How many different outcomes are there?
27 different outcomes
A hat contains 4 equal size cards, 1,5,7, and 6. Brodie will select 2 cards, what is the probability that the cards that he will pull will be a 7 and a 5
The probability is 1/2
IN a game, the probability of guessing which 18 huge boxes contain a monster truck is 2/18. How many winners should they expect is 864 people play?
96 winners
Find the Probability of people going to the X Games motocross
EVENTS RESPONSES
Skateboard 182
BMX 68
MOTOCROSS 126
FREESTYLE BMX 24
31.5% of people surveyed went to motocross
There are 8 stores that only sell school supplies and 3 stores that ONLY sell pajamas hwo many possible comadatioms could you go for a dirtbike a pencil and a boxs of cheezits
NONE!
Brodie gets entered a drawing to win tickets to the World Cup. 1,000,000,000 other people get entered into it to win, what is the probability that he will win a ticket if 65 people get drawn
0.000000065
if Gigi has a sack of colored shoes, the bag contains a total of 300 pairs of shoes and eight of the shoes are hot pink. What is the probability of pulling a individual shoe that is hot pink
Harry finds and makes a list of 2 6 sided dice rolls. His workbook says 24 combinations, is the workbook right? Explain...
NO because the sum of this list is 12 compared to 24.
Brodie and Harry plan 6/12 out of 72 people to win during the school fair. They are keeping track of there numbers, how does the actual number of winners compare to the actual # of winners
TOTAL WINNERS
10 am 272 130
2 pm 162 90
Total 434 220
Brodie and Harry go get ice cream, the flavors are cookies and cream, cookie dough and bubblegum. What flavors could you get possibly with the 3 flavors
use an orginized list...
(H,C) (H,CD) (H,B)
(B,C) (B,CD) (B,B)
Harry hasd a set of cards, truck, van and a car. The card company prints it in backdrops, stadium, beach or Mount Everest. What is the probability of him going to the Van at the Arena
1/12