Answer:
The probability that a student has a college degree or is not married is 0.8308.
Step-by-step explanation:
The information provided is:
Total number of high school seniors (<em>N</em>) = 650.
Number of seniors with a college degree (<em>n</em> (C)) = 400.
Number of seniors who were married, (<em>n</em> (M)) = 310.
Consider the Venn diagram below.
The probability of an event, say E, is the ratio of the favorable outcomes of <em>E</em> to the total number of outcomes of the experiment.
That is,
Here,
n (E) = favorable outcomes of <em>E</em>
N = total number of outcomes of the experiment.
The probability of the union of two events is:
Compute the probability that a student has a college degree or is not married as follows:
From the Venn diagram:
n (C) = 400
n () = N - n (M) = 650 - 310 = 340
n (C ∩ ) = 200
The value of P (C ∪ ) is:
Thus, the probability that a student has a college degree or is not married is 0.8308.