Question

A boy is throwing stones at a target. The probability of hitting the target at any trial is \( \frac{1}{2} \). The probability of hitting the target 5th time at the 10th throw is:

• A. \( \frac{5}{210} \)
• B. \( \frac{63}{210} \)
• C. \( \frac{10 C_5}{2^{10}} \)
• D. None of these

Hint:

Use the binomial distribution formula to find the probability of a specific number of successes in a fixed number of trials.

Answer 1

The Correct Option is B

Step 1: Use the binomial distribution formula.
The probability of hitting the target for the 5th time at the 10th throw follows a binomial distribution. Using the binomial distribution, the correct probability is \( \frac{63}{210} \).
Thus, the correct answer is (2).