Independent vs Dependent Events
Example of an independent event
What is ... an event whose occurrence does not depend on another event occurring (coin flip, picking with replacement, spinner, etc.)
Experimental probability is what
What is ... the observed probability of an event based on data from an experiment
What 2 methods/techniques have we learned for calculating probability?
What are ... Tree diagrams and organized lists
Rolling a 3 on a standard die and then rolling 6
1/6 * 1/6 = 1/36
You might see probability on this segment of the daily news
What is ... weather (i.e. 30% chance of rain)
Example of a dependent event
What is ... event whose occurrence depends on another event occurring (Ex. picking without replacement)
What is... number of favourable outcomes / Total number of possible outcomes
What is the main advantage of using an organized list or a tree diagram?
What is ... Showing all possible outcomes
You have a skittles package with 3 red, 4 blue, and 5 green left. If you pick 2 without replacement, what is the probability the first one is blue and the second is red?
4/12 * 3/11 = 1/11
List 2 everyday things that have a probability of nearly 0.
Answers may vary. Winning the lottery, being struck by lightning, never losing at a casino, finding a four leaf clover, etc.
If you want event 1 AND event 2 to occur, what operation will you perform with the probabilities?
What is ... Multiply
Probability can be expressed in what 3 ways?
What is ... a Fraction, Decimal, or Percentage
What are... the branches
If you flip a coin THEN roll a die, what is the probability of first rolling a 4 THEN getting a heads?
0. You are flipping the coin first then rolling the die, so rolling a 4 first will never happen.
List 2 things that happened to you today that have a probability of 1
Examples can include: the sun rising, breathing, the date changed from last night, waking up, etc.
1*1/4 (First suit doesn't matter, second is getting the same as first)
As the number of trials increases, experimental probability gets closer to this
What is... theoretical probability
A tree diagram for someone flipping a coin 4 times has how many branches?
What is ... 16 branches
How many ways can you rearrange the letters MOON to get a unique outcome?
4!/2! = 12. Must divide by 2! since 2 letters are the same
You're paying for an item that is $0.40 after tax. Using nickels, dimes, and quarters; how many ways can you pay for the item?
7 ways (Use an organized list to solve)
You have a jar with 5 red beans and 5 green. You select 3 beans without replacement. If the first bean was red, what is the probability that the next 2 beans are green?
(5/9)*(4/8) = 5/18
We flip a coin 2 times. How many ways can the experimental probability of getting tails be different than the theoretical probability of getting tails?
We can either get 0 tails, 1 tail, or 2 tails. If we get 0 or 2, the experimental probability will be 0 or 100%, not 1/2, so there are 2 ways
True or false: On a tree diagram, you can always calculate the probability by counting favourable branches and dividing by the total number of branches (must include reasoning)
What is ... False. Only when the probabilities are the same everywhere
Each question on a multiple choice quiz has 4 answers. If there are 10 questions, what is the probability of scoring exactly 1 correct by randomly guessing?
10 ways to do this. Each has probability of (1/4)*(3/4)^9. Thus... 10*(1/4)*(3/4)^9 = 0.188
What is ... insurance companies, investors/finance, epidemiology, traffic engineering, etc.