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# Probability of Compound Events

## Chance of an event occurring: # of successes divided by possible outcomes.

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Basic Probability

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Experimental probability is the ratio of the proposed outcome to the number of experimental trials.

P(success)=number of times the event occuredtotal number of trials of experiment\begin{align*}P(success)= \frac{number \ of \ times \ the \ event \ occured}{total \ number \ of \ trials \ of \ experiment}\end{align*}

List three ways to express probability: _____________________________________________

What are compound events? ________________________________________________

What is the difference between independent and dependent events?

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Independent Events:

P(A and B)=P(A)P(B)\begin{align*}P(A \ and \ B)=P(A) \cdot P(B)\end{align*}

Dependent Events:

P(A and B)=P(A)P(B following A)\begin{align*}P(A \ and \ B)=P(A) \cdot P(B \ following \ A)\end{align*}

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What does it mean if two events are mutually exclusive________________________________________________________________

To find the probability of one or the other mutually exclusive or inclusive event, add the individual probabilities and subtract the probability they occur at the same time.

P(A or B)=P(A)+P(B)P(AB)\begin{align*}P(A \ or \ B)=P(A)+P(B)-P(A \cap B)\end{align*}

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