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? p(largest or smallest) = 0.30 - 0.20 p(largest or smallest) = 0.30 + 0.15 - 0.20 p(largest or smallest) = 0.30 + 0.20 - 0.15 p(largest or smallest) = 0.30 + 0.20
Answer
Answer:
C. $P(\text{largest or smallest}) = 0.30 + 0.20 - 0.15$
Explanation:
Step1: Recall probability - addition rule
For two events $A$ and $B$, $P(A\cup B)=P(A)+P(B)-P(A\cap B)$.
Step2: Identify the events
Let $A$ be the event of riding the largest roller - coaster with $P(A) = 0.30$, $B$ be the event of riding the smallest roller - coaster with $P(B)=0.20$, and $P(A\cap B) = 0.15$.
Step3: Apply the formula
$P(A\cup B)=0.30 + 0.20-0.15$. So the probability of riding the largest or the smallest roller - coaster is given by $P(\text{largest or smallest}) = 0.30 + 0.20 - 0.15$.