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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.

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

List three ways to express probability: _____________________________________________

What are compound events? ________________________________________________

What is the difference between independent and dependent events?



Independent Events:

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

Dependent Events:

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


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.

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


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