An ice cream parlor sells sundaes with 3 different type of ice cream and 4 different toppings. They have 8 flavors of ice cream and 10 toppings for their customers to choose from. What is the probability that a customer orders a sundae including vanilla ice cream and chocolate syrup?
1/5
To find the probability that a customer orders a sundae including vanilla ice cream and chocolate syrup, we need to determine the total number of possible sundaes and the number of sundaes with both vanilla ice cream and chocolate syrup.
Step 1: Calculate the total number of possible sundaes
Since there are 3 different types of ice cream and 4 different toppings, the total number of possible sundaes is the product of the number of ice cream flavors (8) and the number of toppings (10). Hence, the total number of possible sundaes is 8 x 10 = 80.
Step 2: Calculate the number of sundaes with both vanilla ice cream and chocolate syrup
To find the number of sundaes with both vanilla ice cream and chocolate syrup, we multiply the number of choices for ice cream (1) with the number of choices for toppings (1). Hence, the number of sundaes with both vanilla ice cream and chocolate syrup is 1 x 1 = 1.
Step 3: Determine the probability
Now, to calculate the probability, we divide the number of sundaes with both vanilla ice cream and chocolate syrup (1) by the total number of possible sundaes (80).
Probability = Number of sundaes with both vanilla ice cream and chocolate syrup / Total number of possible sundaes
Probability = 1 / 80
Thus, the probability that a customer orders a sundae including vanilla ice cream and chocolate syrup is 1/80.