Food probability

[Guest]

I need help with this problem, its a probability word problem. Paul orders a pizza. chef carol randomly chooses 2 different toppings to put pn the pizza from the following: pepperoni, onion, ausage, mushrooms, and anchovies. if paul will not eat a pizza wiht mushrooms, determine the probability that paul will not eat the pizza chef carl has made.

m yanswer was 4/ 10. i got ten because there is 5 toppings, and its 2 toppings to a pizza. i got 4 because there are 4 different toppings that could have mushrooms. Try the problem and tell me what you get.

 

[Gene]

With 5 toppings there are 5*4 possibilities. Dropping the mushrooms leaves 4*3 possibilities so the chance of not getting mushrooms is 4*3/(5*4).
(That does assume that he will not make one with onions and onions)
He will not eat 1-(4*3/(5*4))
Your answer is correct, though I'm not sure about the reasoning.

 

[pka]

Answer was 4/ 10. I got ten because there is 5 toppings, and its 2 toppings to a pizza. I got 4 because there are 4 different toppings that could have mushrooms. Try the problem and tell me what you get.

Correct. In fact that is the way I would have done the problem.