Question

You and two friends visit a pizza shop. There are 14 toppings. 7 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) 1/35
B) 3432/35
C) 66/7
D) 5/52

Answer 1

first find the number of ways in which 3 toppings can be selected from 14 toppings of any kin

Answer 2

now find the number f ways in which three meat toppings can be selcted from 7 toppings
and hence calc the prob

Answer 3

the probability of the 1st person selecting a meat topping is 7/14 or 1/2

so the 2nd person has 1 less meat topping and there is 1 less topping or any type available. find the probability

the 3rd person has 2 less meat toppings to choose from and the total number of toppings has decreased by 2. find the probability

then the P(meat only) = product of the 3 probabilities

Answer 4

and thus the prob=C(7,3) / C(14,3) =

Answer 5

so it B

Answer 6

check D

Answer 7

nope... a basic rule for probability is that the probability of any event is between 0 and 1

Answer 8

so that means 2 answers can be eliminated straight away

Answer 9

so d and b are eliminated then?

Answer 10

how come d be eliminated is ans of d >1 ?

Answer 11

B and C can be eliminated