A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A multiple-choice test has 5 questions each with 5 possible answers. What is the probability of guessing all the questions correctly?
Solution:
Given the probability of guessing the first question correctly = 1/5
Let P be the probability of guessing 5 questions correctly.
The probability of getting a correct guess is 1/5 and it is the same for every question.
P(getting first question correct) = 1/5
P(getting the first two questions correct)
= 1/5 × 1/5 = (1/5)2
P(getting the first 3 questions correct) =(1/5)3
P(getting the first 4 questions correct)= (1/5)4
P(getting all questions correct)= (1/5)5
P(getting all questions correct) = (1/5)5 = (1/3125)
A multiple-choice test has 5 questions each with 5 possible answers. What is the probability of guessing all the questions correctly?
Summary:
A multiple-choice test has 5 questions each with 5 possible answers, the probability of guessing all the questions correctly is 1/3125.
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