CUET · MATHS · PYQ PAPER 2023
If a fair coin is tossed 10 times, then the probability of obtaining at least one head is:
- A \(\frac{1}{1024}\)
- B \(\frac{17}{1024}\)
- C \(\frac{1023}{1024}\)
- D \(\frac{23}{1024}\)
Answer & Solution
Correct Answer
(C) \(\frac{1023}{1024}\)
Step-by-step Solution
Detailed explanation
\( P(\text{at least one head}) = 1 - P(\text{no heads}) \) \( P(\text{no heads}) = P(\text{all tails}) = (\frac{1}{2})^{10} = \frac{1}{1024} \) \( P(\text{at least one head}) = 1 - \frac{1}{1024} = \frac{1023}{1024} \)
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