00:01
In this problem, it is said that a serial maker places a game piece in each of the serial boxes, and the probability of winning a prize in the game is 1 by 4.
00:10
So let us consider the probability to be p.
00:13
It is 1 by 4, and that is equal to 0 .25.
00:19
Now, we need to determine certain probabilities.
00:22
Now, for that, first of all, consider q to be the probability of not winning a prize in the game.
00:28
So that will be 1 minus p or 1 minus 0 .25.
00:32
That is equal to 0 .75.
00:35
Now, in the first subpart, we need to find the probability that you win your first prize with your fourth purchase.
00:42
That means you do not win a prize in the first three purchases and you win the price on the fourth purchase.
00:50
So the probability will be q times p.
00:54
That is, you do not win three times, and then you win on the fourth time, because of that we have a p...