Question

On a 10 question multiple-choice test, where each question has four answers, what would be the probability of getting at least one question wrong?

Answer 1

What's the probability of getting them all correct?

Answer 2

9.5367x10^-7

Answer 3

so basically 0.00000095367431

Answer 4

the probability of getting at least one wrong is one minus this answer because the two events are complementary

Answer 5

one or the other must happen

Answer 6

so this means

P(getting at least one wrong) = 1-P(getting them all right)

P(getting at least one wrong) = 1-0.00000095367431

P(getting at least one wrong) = 0.9999990463257

Answer 7

so it looks very likely you're going to get at least one wrong

Answer 8

I thought that that would be right, but I am working the problem for an online class and the computer is saying the answer is incorrect....Maybe its a technicality in how I am entering it.

Answer 9

do they want it as a decimal? or a fraction?

Answer 10

all of my other answers have been correct when entered as decimals as long as they are carried out to the fourth decimal place. I have entered 0.9999 and it is saying that is wrong.

Answer 11

this may sound stupid, but 0.9999990463257 rounded to 4 decimal places is 1.0000

Answer 12

so that's why I'm thinking they either want more decimal places or they want it as a fraction

Answer 13

if they want it as a percentage then

0.9999990463257 ---> 0.9999990463257*100 = 99.99990463257%

so,

0.9999990463257 = 99.99990463257%

Answer 14

I tried it as a percentage and that won't work either. I guess I will have to talk with the professor and see what I am doing wrong. Thank you for your help.

Answer 15

can you post a screenshot of the entire problem so I can have a look?

Answer 16

there may be some key detail missing

Answer 17

I'm curious, but have you tried 9999/10000 at all?

Answer 18

no I haven't tried that

Answer 19

that's the answer as a fraction, you basically evaluate 1 - (1/(10^4)) to get that

Answer 20

if neither the decimal or percent forms are working, then it has to be a fraction

btw I don't see any piece of info that helps, so maybe there's more context elsewhere, idk?