An amusement park reports that the probability of a visitor riding its largest roller coaster is 30 percent, the probability of a visitor riding its smallest roller coaster is 20 percent, and the probability of a visitor riding both roller coasters is 15 percent. Which equation can be used to calculate the probability of a visitor riding the largest or the smallest roller coaster?
Answer
A
cap p times open paren largest or smallest close paren is equal to 0 point 3 0 plus 0 point 2 0 minus 0 point 1 5
B
cap p times open paren largest or smallest close paren is equal to 0 point 3 0 plus 0 point 2 0
C
cap p times open paren largest or smallest close paren is equal to 0 point 3 0 minus 0 point 2 0
D
cap p times open paren largest or smallest close paren is equal to 0 point 3 0 plus 0 point 1 5 minus 0 point 2 0
Explanation
For the probability of riding the largest or smallest coaster, add the two individual probabilities and subtract the probability of riding both, since visitors who ride both would otherwise be counted twice. Thus, P(largest or smallest) = 0.30 + 0.20 − 0.15. This is the equation in choice B.
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