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probability edma309

Published on Nov 20, 2015

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PRESENTATION OUTLINE

probability

Photo by dullhunk

marble problem

"I'm a very rich man, so I've decided to give you some of my fortune. Do you see this bag? I have 5001 pearls inside it. 2501 of them are white, and 2500 of them are black. No, I am not racist. I'll let you take out any number of pearls from the bag without looking. If you take out the same number of black and white pearls, I will reward you with a number of gold bars equivalent to the number of pearls you took."

How many pearls should you take out to give yourself a good number of gold bars while still retaining a good chance of actually getting them?


Take out 5000 pearls. If the remaining pearl is white, then you've won 5000 gold bars!
Photo by sprottmoney

words of chance

  • impossible
  • unlikely
  • even/fair/50-50
  • likely
  • certain

sample space

Photo by Mark Seton

EVENT

Photo by W Mustafeez

Outcomes

Photo by robpatrick

experiments

Photo by Serge Melki

Data generators for probability experiments could include

Untitled Slide

Photo by Leo Reynolds

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Photo by PhotoAtelier

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Photo by Dan Sumption

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Photo by luluv1

For the following, identify the event
sample space
likelihood

Photo by miez!

roll of a dice

Photo by Ravages

ROLL OF 2 DICE AND NUMBERS ARE SUMMED TOGETHER

Photo by Knight725

PICK A CARD FROM A STANDARD DECK

Photo by fishbulb1022

a counter is selected from a bag of 4 red, 3 green, 2 yellow and 1 blue.

Photo by Shermeee

a coin is tossed

Photo by jev55

a coin is tossed twice

Photo by ell brown

a coin is tossed three times

Experimental probability

A die is tossed 100 times and the results are:
1 - 40 times
2 - 11 times
3 - 9 times
4 - 10 times
5 - 15 times
6 - 15 times

describe the chances of getting 1-6
most likely to get?
is the dice a fair dice?
how do you know?
What is the chance of rolling a 1 on the next roll?
What is the chance of rolling a 4 on the next roll?
Photo by spacepleb

FAIR DICE?

what if we did 1000 times, or 10000 times, or a million times
Photo by evilgreg3000

The distances jumped off the ground by Kermit on 5 consecutive jumps were...
1.1m
1.4m
0.9m
0.75m
1.1m

what is the likelihood of kermit jumping 3m on the next jump?
jumping 1m on the next jump?
of jumping more than 0.5m on the next jump.

Photo by Zanthia

Spinner is spun 50 times.
Red - 16 times
Green - 19 times
Blue - 15 times

is the spinner fair?

is 50 times enough?

what if I told you the spinner was fair?

how do you explain the variance

theoretical probability

Photo by seanmcgrath

A fair die is tossed what is the probability of rolling a ???

A card is drawn from a standard pack, what is the probability of ???

Photo by stevendepolo

red

Photo by Auntie P

not a HEART

Photo by stevendepolo

2

Photo by djwudi

not a 2

Photo by John-Morgan

2 or 6

Photo by Leo Reynolds

red 2 or any 6

Photo by Weijie~

number less than 7

number no more than 7

Photo by Leo Reynolds

probability rule

standard rule for calculating probabilities
Photo by ** RCB **

From a bag of marbles containing
5 red
4 blue
10 green
1 yellow
(write this down)

Photo by compscigrad

probability of pulling a green

Photo by theilr

Probability of Green, then BLue

put the green back 
Photo by Gabe Photos

probability of green then blue

keep the green out
Photo by Gabe Photos