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Binomial & Poisson Distributions · Question 11 of 68

What is the probability that the guessing student gets every quiz answer wrong?

Question 11

EasyOriginal question

A quiz has 5 questions, each with 4 options of which one is right. A student who has not studied guesses every answer at random.

What is the probability that the guessing student gets every quiz answer wrong?

Options for question 11

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Each answer is wrong with probability 34\frac{3}{4}, independently.

  2. (34)5=2431,024\left(\frac{3}{4}\right)^{5} = \frac{243}{1{,}024}.

Worth noting

11,024\frac{1}{1{,}024} is the chance of getting every answer right.

Concept
All failures in \(n\) trials
Typical time
90 s
Your time
—
The rule this testsBinomial probabilities
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