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Similarly, for the rules of addition, there are two to choose from.You use the rule P(A or B) = P(A) P(B) if the events are mutually exclusive.
When all of the simple events have the same probability of occurring, the probability of whichever event, A, is defined as the quotient between the number of favorable outcomes and the number of possible outcomes.
We will discuss different probability word problems here.
The problem says that P(A = chocolate) = 60% and P(B = vanilla) = 70%. You can substitute the word "chocolate" when you see the event A and the word "vanilla" when you see the event B.
Using the appropriate equation for the example and substituting the values, the equation is now P(chocolate and vanilla) = 60% x 70%. Using the previous example, P(chocolate and vanilla) = 60 percent x 70 percent.
Probability is traditionally considered one of the most difficult areas of mathematics, since probabilistic arguments often come up with apparently paradoxical or counterintuitive results.
Examples include the Monty Hall paradox and the birthday problem.
Probabilities are used in mathematics and statistics and are found in everyday life, from weather forecasts to sporting events.
With a little practice and a few tips, the process of calculating probabilities can be more manageable. One important tip when solving a probability word problem is to find the keyword, which helps to identify which rule of probability to use.
When using a rule of multiplication, there are two to choose from.
You use the rule P(A and B) = P(A) x P(B) when the events A and B are independent.