Two fair dice are rolled.
Determine the probability that the sum of the two dice is 12.
The probability is
The given statement is the sum of the two dice is 12.
The probability of an event is given by the number of ways the event can occur divided by the total number of outcomes in the sample space.
When two dice are rolled sample space is given by that is total number of elements in the sample space.
Let E represent the event 'the sum of two dice is 12' that is
On substituting the values in the formula, we get,
According to the U.S. National Center for Education Statistics, in 2008 there was a probability that a doctoral degree awarded at a U.S. university was awarded in engineering. If a 2008 U.S. doctoral recipient is randomly selected, what is the probability that his or her degree was not in engineering?
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