Problem 1. tosses of a biased coin 7 points possible (graded) consider 10 independent tosses of a biased coin with the probability of heads at each toss equal to , where 0< < 1 . let be the event that there are 6 heads in the first 8 tosses. let be the event that the 9th toss results in heads. find ∣ and express it in terms of using standard notation. (you can click on the “standard notation" button below.) unanswered find the probability that there are 3 heads in the first 4 tosses and 2 heads in the last 3 tosses. express your answer in terms of using standard notation. remember not to use ! or combinations in your answer. unanswered given that there were 4 heads in the first 7 tosses, find the probability that the 2nd heads occurred at the 4th toss. give a numerical answer. unanswered we are interested in calculating the probability that there are 5 heads in the first 6 tosses and 3 heads in the last 5 tosses. give the exact numerical values of , , , that would match the answer (1−+− .