In general, how do you find the theoretical and experimental probabilities of a favorableoutcome if there are n equally likely outcomes and p of them are favorable?

Theoretical Probability:

The theoretical probability of an event is calculated by dividing the number of ways the event can occur by the total number of outcomes.

Step 1: Identify the total number of outcomes (n). This could be the total number of possible outcomes in a situation.

Step 2: Identify the number of ways the event of interest can occur (p). This is the number of outcomes that are considered favorable.

Step 3: Divide the number of favorable outcomes (p) by the total number of outcomes (n). This is the theoretical probability.

Formula: P(E) = p/n

Experimental Probability:

The experimental probability of an event is calculated by dividing the number of times the event occurs by the total number of trials.

Step 1: Conduct an experiment and record the number of times the event of interest occurs (p).

Step 2: Record the total number of trials conducted (n).

Step 3: Divide the number of times the event occurred (p) by the total number of trials (n). This is the experimental probability.

Formula: P(E) = p/n

Note: Theoretical probability is what we expect to happen, while experimental probability is what actually happens when we conduct the experiment.