Allied & ICAR Exam Bank • ALLIED_0794 NAT • 2 Marks

Section 1: Engineering Mathematics

Probability and Statistics

Subtopic: Probability rules and conditional probability

Question Statement:

A fair six-sided die is rolled twice. The probability of obtaining a sum equal to 7 is $6 / 36 = 1/6$. Expressed as a decimal (rounded off to three decimal places), this probability is:

Answer Key:

0.167

Step-by-Step Solution & Explanation

Favorable pairs: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) = 6 outcomes out of 36. $6/36 = 1/6 \approx 0.1667 \approx 0.167$.
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