Question
- An unprepared student makes random guess for ten true-false questions on a quiz. The probability of atleast one correct answer is:
a) 0.9990
b) 0.99
c) 0.9
d) 1
a) 0.9990
b) 0.99
c) 0.9
d) 1
Ask by Byrd Campbell. in Pakistan
Jan 06,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The probability of getting at least one correct answer is approximately 0.9990.
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Bonus Knowledge
To find the probability of getting at least one correct answer when guessing on ten true-false questions, we can use the complement rule. The probability of guessing wrong on a single question is 0.5, so for ten questions, the probability of getting all wrong is
. Thus, the probability of getting at least one correct answer is
, which is approximately 0.9990. So, the correct answer is (a) 0.9990!
Now imagine this scenario in real life! Picture a student in panic mode, trembling over their quiz. They close their eyes, take a deep breath, and randomly select answers like they’re playing a game of true-false roulette! With a 99.90% chance of getting at least one answer right, it’s a fantastic reminder that sometimes, luck can be on our side—even when we’re flying blind!