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Example Questions
Example Question #11 : Independent And Dependent Events
True or false: Two events which are mutually exclsuve are also independent events.
More information is needed.
True
False
Sometimes
False
Events which are mutually exclusive are dependent events. This is becauce if one event happens, it affects the probability that the other event will happen.
Example- Tonight you may attend a soccer game or a basketball game. These events are mutually exclusive because they share no overlap. However, if you go to the basketball game, it changes the probability of you going to the soccer game to zero. Therefore, mutually exclusive events are not independent.
Example Question #11 : Independent And Dependent Events
A bag is set in front of you with three different colored marbles inside. There are 9 red marbles, 10 blue marbles, and 7 yellow marbles. What is the probability that you draw a marble that is not yellow?
First you find the total amount of marbles that are in the bag which is 26 (). Then you must add up all of the marbles that are not yellow which is 19 (9 red marbles + 10 blue marbles). Finally, you must divide the total marbles that are apart of you set (19) by the total marbles (26) and that gives you a probability of .
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