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(\text{largest or smallest}) = 0.30 - 0.20) o (p(\text{largest or smallest}) = 0.30 + 0.15 - 0.20) o (p(\text{largest or smallest}) = 0.30 + 0.20 - 0.15) o (p(\text{largest or smallest}) = 0.30 + 0.20)

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(\text{largest or smallest}) = 0.30 - 0.20) o (p(\text{largest or smallest}) = 0.30 + 0.15 - 0.20) o (p(\text{largest or smallest}) = 0.30 + 0.20 - 0.15) o (p(\text{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 $P(A) = 0.30$, event $B$ be riding the smallest roller - coaster and $P(B)=0.20$, and $P(A\cap B) = 0.15$.

Step2: Substitute values

Substitute the values of $P(A)$, $P(B)$ and $P(A\cap B)$ into the formula. We get $P(A\cup B)=0.30 + 0.20-0.15$.

Answer:

$P(\text{largest or smallest}) = 0.30 + 0.20 - 0.15$ (the third option)