A die is thrown again and again until three sixes are obtained. Find the probability of obtaining the third six in the sixth throw of the die.

Question

Philoid · Accepted Answer

From the condition given in the question, it is clear that:

Probability of getting a six in a throw of die =

And, probability of not getting a six =

Let us assume,

Now, we have:

Probability that the 2 sixes come in the first five throws of the die

=

Also, Probability that the six come in the sixth throw