Question

two people are independently choosing 3-topping pizza with 4 possible type of crust and 8 possible toppings.what is the probability that they choose the same exact crust and toppings combinations?

Answer 1

So,

This is independent probability.

First, we have the two people.

`(1)/(2)`

Then, we have 3 different toppings.

`(1)/(2)* (1)/(3) = (1)/(6)`

Next, we have 4 possible types of crusts.

`(1)/(6) * (1)/(4) = (1)/(24)`

Finally, we have the 8 possible toppings.

`(1)/(24) * (1)/(8) = (1)/(192)`