SOLUTION: You are ordering a hamburger and can get up to 6 toppings, but each topping can onluy be used once. You tell the cashier to surprise you with the toppings you get. What is the prob

Algebra ->  Permutations -> SOLUTION: You are ordering a hamburger and can get up to 6 toppings, but each topping can onluy be used once. You tell the cashier to surprise you with the toppings you get. What is the prob      Log On


   



Question 1162028: You are ordering a hamburger and can get up to 6 toppings, but each topping can onluy be used once. You tell the cashier to surprise you with the toppings you get. What is the probability that you get 1 topping? Express your answer as a fraction or a decimal number rounded to four decimal places.
Found 3 solutions by Alan3354, greenestamps, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
1 topping out of 6 possible ---> 1/6
Express it any way you like.
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We should not have to interpret math problems, or try to figure out what was meant.

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


I think the question that is asked is open to different interpretations. I read the problem differently than the other tutor.

In choosing the toppings to put on the hamburger, the person preparing it must answer a YES/NO question as to whether or not to include each of the 6 toppings. That's 2 different choices for each of 6 questions, making 2^6 = 64 possible sets of answers, meaning there is a total of 64 different possible combinations of toppings.

There are 6 combinations that consist of a single topping.

So the probability of getting a burger with exactly 1 topping is 6/64 = 3/32.


Answer by ikleyn(52788) About Me  (Show Source):