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Question

Mathematics Question on Probability

Two dice are thrown simultaneously, the probability of obtaining a total score of 55 is

A

118\frac{1}{18}

B

112\frac{1}{12}

C

19\frac{1}{9}

D

16\frac{1}{6}

Answer

19\frac{1}{9}

Explanation

Solution

Given two dice are thrown simultaneously.
\because Total number of outcomes =36=36
Also, sum of numbers is 55,
i.e. \\{(1,4),(2,3),(3,2), (4,1)\\}
\therefore Favourable outcomes =4=4
\therefore Required probability =436=19=\frac{4}{36}=\frac{1}{9}