An ice-cream parlor sells sundaes with 3 different types of ice-cream and 4 different toppings. They have 8 flavors of ice-cream and 10 toppings for their customers to chose from. what is the probability that a customer orders a sundae including the toppings of whipped cream, caramel syrup, chocolate syrup, and cookie crumbles
1/(10C4)
To find the probability of a customer ordering a sundae with specific toppings, we need to know the total number of possible sundae combinations and the number of combinations that include the specified toppings.
First, let's determine the total number of possible combinations of ice cream and toppings. Since there are 3 different types of ice cream and 4 different toppings, there are a total of 3 * 4 = 12 possible combinations of ice cream and toppings for each sundae.
Next, we need to calculate the total number of possible combinations for the 8 flavors of ice cream and 10 toppings that the parlor offers. The total number of combinations can be calculated by multiplying the number of choices for each component. In this case, the total number of combinations will be 8 * 10 = 80.
Now, to find the number of sundae combinations that include whipped cream, caramel syrup, chocolate syrup, and cookie crumbles, we need to calculate the number of possibilities for each topping and then multiply them together.
For whipped cream, there is only 1 option available (either it is included or not included).
For caramel syrup, there is also only 1 option available.
For chocolate syrup, there is 1 option available.
For cookie crumbles, there is 1 option available.
Therefore, the number of sundae combinations with the specified toppings is 1 * 1 * 1 * 1 = 1.
Finally, to find the probability, we divide the number of combinations with the specified toppings by the total number of possible combinations:
Probability = Number of combinations with specified toppings / Total number of possible combinations
Probability = 1 / 80 = 0.0125 or 1.25% (rounded to two decimal places)
So, the probability that a customer orders a sundae including whipped cream, caramel syrup, chocolate syrup, and cookie crumbles is 0.0125 or 1.25%.