Question

If I take a 7 question multiple choice test, with 4 choices per question, what is the probability that I get 1 wrong

Answer 1

The probability is
`(3)/(4^7)`.

Explanation:

Total questions = 7

Number of choices of each question = 4

Probability to give the correct answer = 1/4

Probability to give the wrong answer = 3/4

Probability to give 1 answer wrong

`(1)/(4)* (1)/(4)* (1)/(4)* (1)/(4)* (1)/(4)* (1)/(4)* (3)/(4)\\\\= (3)/(4^7)`