At an ice cream ship, customers can order a sundae with 1 type of ice cream, 1 type of sauce, and 1 type topping. The types of ice cream are:

chocolate; strawberry; vanilla
The types of sauce are:
caramel, strawberry, chocolate,
butterscotch
The types of toppings are:
chocolate chips; peanuts;
strawberries; walnuts
If each type of ice cream, sauce, and topping is equally likely to be selected, what is the probability that a customer will order a sundae with vanilla ice cream, caramel sauce, and walnuts?

Probability of all events occurring is found by multiplying the individual probabilities.

P = 1/3 * 1/4 * 1/4 = ?

1/48

27

To find the probability that a customer will order a sundae with vanilla ice cream, caramel sauce, and walnuts, you need to determine the total number of possible sundaes and the number of sundaes that meet the specific criteria.

First, let's calculate the number of possible combinations for each component:

- There are 3 types of ice cream (chocolate, strawberry, and vanilla).
- There are 4 types of sauce (caramel, strawberry, chocolate, and butterscotch).
- There are 4 types of toppings (chocolate chips, peanuts, strawberries, and walnuts).

To find the total number of possible combinations, we multiply the number of options for each category: 3 (ice cream) x 4 (sauce) x 4 (topping) = 48.

Now, we need to find out how many of these combinations match the specific criteria: vanilla ice cream, caramel sauce, and walnuts.

- The number of options for ice cream is 1 (vanilla).
- The number of options for sauce is 1 (caramel).
- The number of options for topping is 1 (walnuts).

To find the number of combinations that match the specific criteria, we multiply the number of options for each category: 1 (ice cream) x 1 (sauce) x 1 (topping) = 1.

Finally, to calculate the probability, we divide the number of combinations that match the criteria by the total number of possible combinations: 1/48.

Therefore, the probability that a customer will order a sundae with vanilla ice cream, caramel sauce, and walnuts is 1/48.