SOLUTION: Your favorite pizza parlor offers six meat toppings and eight veggie toppings. If you order a three-topping pizza at random, what is the probability that it is vegetarian? 14 to

Algebra ->  Probability-and-statistics -> SOLUTION: Your favorite pizza parlor offers six meat toppings and eight veggie toppings. If you order a three-topping pizza at random, what is the probability that it is vegetarian? 14 to      Log On


   



Question 221683: Your favorite pizza parlor offers six meat toppings and eight veggie toppings. If you order a three-topping pizza at random, what is the probability that it is vegetarian?
14 toppings offered, so n = 14
Arrange in groups of 3, so r = 3
n!/r!(n-r)!
14!/3!(14-3)! = 364 possible combinations

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
My approach would be
How many possible 3 toppings are there?
Combinations of 14 things taken 3 at a time
(1) 14%21%2F%283%21%2A%2814-3%29%21%29
How many 3 toppings are just veggie?
Combinations of 8 things taken 3 at a time
(2) 8%21%2F%283%21%2A%288-3%29%21%29
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The probability of getting 3 toppings just veggie
is (2) divided by (1)
(1) 14%21%2F%283%21%2A%2814-3%29%21%29
(1) 14%21%2F%283%21%2A11%21%29
(1) 12%2A13%2A14+%2F+%283%2A2%2A1%29
(1) 2184%2F6
(1) 364
and
(2) 8%21%2F%283%21%2A%288-3%29%21%29
(2) 8%21%2F%283%21%2A5%21%29
(2) 8%2A7%2A6%2F%283%2A2%2A1%29
(2) 336%2F6
(2) 56
Probability 3 toppings are veggie
56%2F364+=+2%2F13
Hope I got it