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
\(\frac{1}{2}\)
Probability of getting 100% on the quiz by randomly guessing the answer to all 4 questions is given by
\(\frac{1}{2}^4\\\\=\frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}\\\\=\frac{1}{16}\\\\=0.0625\)
Hence, The probability of getting 100 % on the quiz is 0.0625.
