Question

Amanda is taking a quiz that consists of five multiple choice questions, each having three answers from which to choose. If she guesses on each question, what's the probability that Amanda will get 100% on the quiz?
1/12
1/15
1/125
1/243

Answer 1

1/15 right because 1/3 is the chance and there is five so 3 times five is 15

Answer 2

There are 3^5 = 243 ways to answer 5 multiple choice questions (3 choices per question). There is only one way to get 100%

So the probability is 1/243

Answer 3

(1/3)(1/3)(1/3)(1/3)(1/3)=1/243

Answer 4

thanks i see how u did that now i was just thinking about one of them

Answer 5

No
\[\frac{1}{3}.\frac{1}{3}.\frac{1}{3}.\frac{1}{3}.\frac{1}{3}\]
there is one third chance of getting correct answers in each question so prbablities multiply as they are simultaneous and independent events