Question

What is the probability of rolling three sixes in a row?

Answer 1

Probability:

The concept of experimental probability can be used to find the probability of rolling three sixes in a row.

Experimental probability is the ratio of the occurrence of the event to the total number of trials.

When a dice is rolled, the possible outcomes are$1,2,3,4,5,6$.

The number of favorable outcomes is $=1$

Probability of getting is$=\frac{1}{6}$

The probability of independent events is $P\left(A\cup B\cup C\right)=P\left(A\right)\times P\left(B\right)\times P\left(C\right)$

The same conditions will exist for all three dice. So, the experimental probability will be

$\frac{1}{6}\times \frac{1}{6}\times \frac{1}{6}=\frac{1}{216}$.

Hence, the probability of rolling three sixes in a row is$\frac{1}{216}$.