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Question

Mathematics Question on Probability

When three dice are thrown the probability of getting a 44 or 55 so on each of the dice simultaneously is

A

172\frac{1}{72}

B

1108\frac{1}{108}

C

124\frac{1}{24}

D

None of these

Answer

None of these

Explanation

Solution

Total number of cases =63=216={{6}^{3}}=216
Favourable cases are 445,454,544,455,545,445,454,544,455,545,
554,555,444.554,555,444. \therefore
Total number of favourable cases =8=8
\therefore Required probability =8216=127=\frac{8}{216}=\frac{1}{27}