00:01
Hi, i'm david and i'm here to have you answer your question.
00:03
Now let me bring up your question here.
00:05
In the question here, we are given the con, we could be tossed twice, and we have z denoted by the number of the head on the first toss, and the double year will be the total number of the head on the two tosses.
00:21
And it's known that the con is unbiased and unbalanced, and the head is 40 % chance occur.
00:29
So we have the probability of the head equal to the 0 .4 and then the probability the tail equal to the 0 .6.
00:39
And now if we want to list the sample space and it will equal to here we can have the hat hat and then hat tell, then the head tell hat, then the head tell, and then the tell tell.
00:56
And in this outcome here, if we call the z and the z for this one will be z will be the number of the head in the first thoughts so this one will be the 1, it will be the 0, this will be the 0 and then on the w it will be this will be the total number of the head so this will be the 2, 1, 1 and the 0 now once you find you want to know if w and z independent or not so let's try to compute a particular case than the probability of the z equal to one and the w equal to two let's say equal to the two and then this one it will equal to this one only the case then we have the head and hat which is this one here so we get equal to because it isn't it needs the unbalanced so therefore it will equal to the probability the first is a head times the probability on the head equal to the zon4 time with the zupon4 and equal to z116...