00:01
In this problem, we are given that there is a die and this is rolled 12 times and we are required to find out the probability that we roll three not more than three times.
00:16
So basically three is rolled no more than three times.
00:22
It's probability we have to find out.
00:26
So we will consider this as the binomial distribution in which the number of trials is.
00:32
And let's consider p as the probability of success, which is the probability of getting three.
00:39
So that would be 1 over 6, because we know that when a die is rolled, the possible outcomes are the numbers through 1 to 6.
00:46
And the probability of the failure, that would be 1 minus p, which is 5 by 6.
00:51
And we consider x here as the random variable, which is the number of successes, which means that this is describing the number of times 3 appears...