In: Statistics and Probability
I am fed up with probabilities, so once and for all I am going totry to solveas many questions as I can; maybe that will be of some help. I choose the more difficult questions. The probability that I solve any one of them is p<1, independent of the others; and I go through a question only once, whether I am able to solve it or not. Helpme with my progress by answering the following questions; I suggest making use of your own previous results while solving an item since the questions seem to be interrelated.
(a)In English:What is the probability that my first successful attempt during this adventure occurs before the 6th trial and that my second occurs after the 10th?
(b)In English:What is the probability that my first successful attempt occurs before the 6th trial and that my second occurs before the 11th? Use the result from the previous item.
(c)In English:What is the probability that my second successful attempt occurs beforethe 11th? Use the result from the previous item.
(d)In English:I guess there is a way to check if the result of the previous item is correct,and you must have gone through it before in your studies. Perform the check.