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.
$\frac{1}{2}$

Then, we have 3 different toppings.
$\frac{1}{2}* \frac{1}{3} = \frac{1}{6}$

Next, we have 4 possible types of crusts.
$\frac{1}{6} * \frac{1}{4} = \frac{1}{24}$

Finally, we have the 8 possible toppings.
$\frac{1}{24} * \frac{1}{8} = \frac{1}{192}$