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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?

Respuesta :

syed514
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

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

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Step-by-step 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

[tex]\frac{1}{2}[/tex]

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

[tex]\frac{1}{2}^4\\\\=\frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}\\\\=\frac{1}{16}\\\\=0.0625[/tex]

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

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