00:01
In this question, we toss a coin three times, and the probability of head is equal to 0 .75, so the probability of tail is equal to 0 .25.
00:21
And then we want to find the x is the number of head runs.
00:28
So a head run means consecutive occurrence of at least two heads consecutively.
00:44
So from this information, we can see that we have got three times, or three tosses, and then to be a head run, it means that x is equal to 1, one head run.
00:59
So it could be a head, head, and head, or head, head, tail, or tail, head, head.
01:11
So in these three cases, we have got one head run.
01:16
So the first one is three consecutive heads, the remaining two are at least two consecutive heads, and no other cases, because we just toss the coin three times.
01:29
So in this case, we have the probability is equal to, the first one is 0 .75 to the power of three, because for each time, the probability for the head is equal to 0 .75...