6.1 Simulation. Probability is the branch of math that describes the pattern of chance outcomes Probability 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: * Rule2) Find the probability of flipping a head and rolling a 3. Find the probability of flipping a tail and rolling a 6.3) # of outcomes?
1) If you were going to roll a die, pick a letter of the alphabet, use a single number and flip a coin, how many outcomes could you have?
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!