Question

Three six faced dice are thrown together .The probability that the sum of the numbers appearing on the dice is 8 is ;

• A. 7/72
• B. 7/57
• C. 4/27
• D. None of these

Answer 1

The correct option is A 7/72

Typical outcomes are

$(1,1,6)(1,2,5)(1,3,4)(3,3,2)(4,2,2)$

Cardinality $=3+6+6+3+3=21$

Probability of $E=\frac{c}{n}=\frac{21}{216}=\frac{7}{72}$