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The keywords are "and," "or" and "not." For instance, consider the following word problem: "What is the probability that Jane will choose both the chocolate and the vanilla ice cream cones given that she chooses chocolate 60 percent of the time, vanilla 70 percent of the time, and neither 10 percent of the time." This problem has the keyword "and." Find the correct rule of probability.
For problems with the keyword "not," the rule of probability to use is the complement rule. The example problem is asking for the event that Jane will choose both the chocolate and the vanilla.
You use the rule P(A and B) = P(A) x P(B|A) when the events are dependent.
P(B|A) is a conditional probability, indicating the probability that event A occurs given that event B has already occurred.
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.