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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?

1 Answer

2 votes
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)
User Bernardo Dal Corno
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