an amusement park reports that the probability of a visitor riding its largest roller coaster is 30 percent…

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? o p(largest or smallest) = 0.30 - 0.20 o p(largest or smallest) = 0.30 + 0.15 - 0.20 o p(largest or smallest) = 0.30 + 0.20 - 0.15 o p(largest or smallest) = 0.30 + 0.20
Answer
Explanation:
Step1: Recall probability formula
For two events (A) and (B), (P(A\cup B)=P(A)+P(B)-P(A\cap B)). Let event (A) be riding the largest roller - coaster and event (B) be riding the smallest roller - coaster.
Step2: Identify given probabilities
We have (P(A) = 0.30), (P(B)=0.20), and (P(A\cap B)=0.15).
Step3: Substitute values
Substituting into the formula (P(A\cup B)), we get (P(A\cup B)=0.30 + 0.20-0.15).
Answer:
(P(\text{largest or smallest}) = 0.30 + 0.20 - 0.15)