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Binomial & Poisson Distributions · Question 22 of 68

What is the probability that the guessing student gets at least one quiz answer right?

Question 22

MediumOriginal 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 at least one quiz answer right?

Options for question 22

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. P(X≥1)=1−P(X=0)P(X \ge 1) = 1 - P(X = 0).

  2. 1−2431,024=7811,0241 - \frac{243}{1{,}024} = \frac{781}{1{,}024}.

Worth noting

1,0231,024\frac{1{,}023}{1{,}024} takes away the chance of all right, when it is the chance of all wrong that must go.

Concept
At least one, through the complement
Typical time
120 s
Your time
—
The rule this testsBinomial probabilities
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