Question

A multiple choice test has 8 questions. Each question has 4 possible answers. Find the probability that a students who guesses the answer for each question will pass the test. Show all steps

Answer 1

Ok use the probability formula P=number of desired outcomes/number of total outcomes

Answer 2

so would it be \[\frac{ 4 }{ 32 }\] ?

Answer 3

Wait it's been ages since I've taken and maths lessons in probability.. You might need to use a different formula to make it easier.

Answer 4

Are you familiar with Binomial Probability Formula?

Answer 5

It goes like this: P(k success in n trials) =\[\left(\begin{matrix}n \\ k\end{matrix}\right)p ^{k}q ^{n-k}\]

Answer 6

n = number of trials
k = number of successes
n – k = number of failures
p = probability of success in one trial
q = 1 – p = probability of failure in one trial

Answer 7

For this question then
n = 8
k = 8
n – k = 0
p = 0.25 = probability of guessing the correct answer on a question
q = 0.75 = probability of guessing the wrong answer on a question

Answer 8

Now plug them in and use a calculator.