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.
Instead we use the complement rule to calculate.
[tex]P(x\geq1)=1-P(x<1)[/tex]
So we need to find P(x<1). So this is getting 0 answers correct, or 10 incorrect.
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,
[tex]P(x\geq1)=1-(\frac{1}{2})^{10}=0.999[/tex]
So the answer is 0.999 (rounded to nearest thousandth)
