select the correct answer. a restaurant has a total of 60 tables. of those tables, 38 are round and 13 are…

select the correct answer. a restaurant has a total of 60 tables. of those tables, 38 are round and 13 are located by the window. there are 6 round tables by the window. if tables are randomly assigned to customers, what is the probability that a customer will be seated at a round table or by the window? a. yellow - highlighted area with hand - cursor b. $\frac{47}{60}$ c. $\frac{45}{60}$ d. $\frac{41}{60}$

select the correct answer. a restaurant has a total of 60 tables. of those tables, 38 are round and 13 are located by the window. there are 6 round tables by the window. if tables are randomly assigned to customers, what is the probability that a customer will be seated at a round table or by the window? a. yellow - highlighted area with hand - cursor b. $\frac{47}{60}$ c. $\frac{45}{60}$ d. $\frac{41}{60}$

Answer

Explanation:

Step1: Use probability formula for union

$P(A\cup B)=P(A)+P(B)-P(A\cap B)$

Step2: Calculate probabilities

$P(A)=\frac{38}{60}$, $P(B)=\frac{13}{60}$, $P(A\cap B)=\frac{6}{60}$ $P(A\cup B)=\frac{38 + 13- 6}{60}=\frac{45}{60}$

Answer:

C. $\frac{45}{60}$