Question

A unbiased six-sided die (a cube) has number $1$ to $6$ on its sides. The probability that one gets $1,6,6$ in three consecutive throws is

• A. $\frac{1}{25}$
• B. $\frac{3}{25}$
• C. $\frac{1}{215}$
• D. $\frac{1}{216}$

Answer 1

The correct option is D $\frac{1}{216}$

An un-biased 6-faced die is thrown three times.

Number of ways in which one gets 1,6,6 in

three consecutive throws is 1.

Total number of possibilities = $6\times 6\times 6=216$

So, probability = $\frac{1}{216}$