Question

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 different topping (no repeats) at random. What is the probability that your group orders only meat toppings?
A. 2/91
B. 33/5
C. 3003/10
D. 1/10

Answer 1

We know that
total toppings=15
meat toppings=5

The first person has a
5/15 chance of getting a meat topping.

The second person has a
4/14 chance because there are no repeats,

The third person would have a
3/13 chance.
Since there are three multiply
5/15 * 4/14 * 3/13.=60/2730
60/2730-------> divide by 30 both members------> 2/91

the answer is
2/91