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Natasha_Volkova [10]
3 years ago
15

An unprepared student makes random guesses for the ten​ true-false questions on a quiz. Find the probability that there is at le

ast one correct answer. Round to the nearest thousandth.
Mathematics
1 answer:
hoa [83]3 years ago
3 0

Answer:

0.999

Step-by-step explanation:

At least 1 correct means, 1 correct, 2 correct, 3 correct ... until 10 correct. That would be a long process to calculate.

<em>Instead we use the complement rule to calculate.</em>

<em>P(x\geq1)=1-P(x</em>

<em />

<em>So we need to find P(x<1). So this is getting 0 answers correct, or 10 incorrect.</em>

<em />

In true false question, probablity of correct is 1/2 and incorrect is 1/2, hence,

Probability of 10 incorrect is (1/2)^10

Thus,

P(x\geq1)=1-(\frac{1}{2})^{10}=0.999

So the answer is 0.999 (rounded to nearest thousandth)

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