Question

A symmetrical die is thrown first and secondly two symmetrical dice are thrown together. The probability that first throw was a face with $6$ points upwards and the second throw was a sum of $6$ points.

• A. $\frac{1}{36}$
• B. $\frac{5}{36}$
• C. $\frac{1}{216}$
• D. $\frac{5}{216}$

Answer 1

The correct option is D $\frac{5}{216}$

There are $5$ ways of getting sum of $6$ in the throw of $2$ dice.
$\therefore$ Required probability$=\frac{1}{6}\times \frac{5}{36}=\frac{5}{216}$