6.1 Simulation. Probability is the branch of math that describes the pattern of chance outcomes It is an idealization based on imagining what would happen in an infinitely long series of trials . Probability calculations are the basis for inference
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The flow of traffic
A telephone interchange
The genetic makeup of populations
Energy states of subatomic particles
The spread of epidemics
Rate of return on risky investments
Event 1: Flipping a coinEvent 2: Rolling a die1) How many outcomes are there? List the sample space. Tree diagram: Multiplication Rule2) Find the probability of flipping a head and rolling a 3: Find the probability of flipping a tail and rolling a 6:
2) As it relates to the experiment above, define an event and give an example:
Flip a coin four times. Find the sample space, then calculate the following:
Sampling with replacement: If you draw from the original sample and put back whatever you draw out
Sampling without replacement: If you draw from the original sample and do notput back whatever you drew out!