Give examples of independent and dependent eventsSolutionInd

Give examples of independent and dependent events

Solution

Independent and dependent events.:

Two events say A and B are said to be independent if the result of B is independent of result of A.

P(A and B) = P(A) P(B)

Example:

A drawer contains 5 red paperclips, 11 green paperclips, and 5 blue paperclips. One paperclip is taken from the drawer and then replaced. Another paperclip is taken from the drawer. What is the probability that the first paperclip is red and the second paperclip is blue?

Because the first paper clip is replaced, the sample space of 20 paperclips does not change from the first event to the second event. The events are independent.
P(red then blue) = P(red)