GATE 2016 EE (EE2) – Question 9

General Aptitude · Quantitative Aptitude: Data Interpretation, Arithmetic and Number Computation · 2 marks · Multiple choice

Shaquille O’Neal succeeds at 60% of free throws. Assuming independent attempts with this constant success probability, the probability of exactly 6 successes in 10 attempts is

0.2508
0.2816
0.2934
0.6000

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Show answer and explanation

Correct answer: (A) 0.2508

Explanation

Use the binomial formula: $P(X=6)=\binom{10}{6}(0.6)^6(0.4)^4$.

The combination count is 210. Multiplying gives 0.250822656, which rounds to **0.2508, A**. The independence and fixed-probability model is the one intended by this probability question.

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