adaydreamaway9779 adaydreamaway9779
  • 12-07-2021
  • Mathematics
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If I take a 7 question multiple choice test, with 4 choices per question, what is the probability that I get 1 wrong

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Numenius
Numenius Numenius
  • 13-07-2021

Answer:

The probability is [tex]\frac{3}{4^7}[/tex].

Step-by-step 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

[tex]\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}\\\\= \frac{3}{4^7}[/tex]

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