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GATE 2014 EE (EE2) – Question 12

Engineering Mathematics · Probability and Statistics: Random variables · 1 mark · Numerical answer

A die has probability of showing n dots proportional to n. Find the probability of three dots.

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Correct answer: 0.13 to 0.15

Explanation

Write P(n)=kn for n=1,...,6. Normalization gives k(1+2+3+4+5+6)=21k=1. Therefore P(3)=3/21=**1/7≈0.142857**. The equal-probability value1/6does not apply to this weighted die.