You and two friends visit a pizza shop. There are 15 toppings. 5 toppings are meat and the rest are vegetable. Each of you orders a do topping(no repeats) at random. What is the probability that your group orders only meat toppings?

Answer 1

There are 5 meat toppings out of 15, so the probability that the first person orders a meat topping is 5/15.

Then for the second person, there are now 4 meat toppings out of 14, so the probability that the second person orders a meat topping is 4/14.

Finally, for the third person, there are 3 meat toppings out of 13, so the probability that the third person orders a meat topping is 3/13.

Therefore, the probability that all three of you order only meat toppings is:
(5/15) * (4/14) * (3/13) = 0.0126

So the probability is 0.0126 or 1.26%.