A quiz consists of 4 true-false questions. What is the probability of getting 100% on the quiz by randomly guessing the answer to all 4 questions?

Question

asked Sep 10, 2017 226k views

2 Answers

Taocp · Answer 1 · 2017-09-12T13:30:11+0000

Answer: The probability of getting 100 % on the quiz is 0.0625.

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Explanation:

Since we have given that

Number of true-false questions = 4

Number of chances of answer = 2

1) True,

2) False

Probability of getting correct answer is given by

(1)/(2)

Probability of getting 100% on the quiz by randomly guessing the answer to all 4 questions is given by

$(1)/(2)^4\\\\=(1)/(2)* (1)/(2)* (1)/(2)* (1)/(2)\\\\=(1)/(16)\\\\=0.0625$

Hence, The probability of getting 100 % on the quiz is 0.0625.

Yasith · Answer 2 · 2017-09-14T09:51:19+0000

Probability of guessing right on any one question is 1/2.
Probability of guessing right on 4 in a row is 1/2 x 1/2 x 1/2 x 1/2 = 1/16