Conditional Probability

Conditional Probability means that the "event" has one or more conditions, which are restrictions.

Events with one condition involve finding the probability of a specific item.

To solve this you multiply the probability of the location of the item by the probability of the amount of specific items in its location.

Example 1: There are two bags. A coin is flipped to determine which bag to draw from. Bag #1 contains 4 basketballs and 2 footballs. Bag#2 contains 10 basketballs and 2 footballs. A ball is drawn at random from the chosen bag. Find P(Basketball).















Events with two conditions involve finding the probability of obtaining a specific item and it must come from a specific location, which leads to a reduced sample space.

To solve this type of question you use the equatoion:









Example 2: Using the same items in example 1, find P(Bag#1/Basketball).






















and THAT, is how it's done ..