Can someone help me with question D.
Extracted text: :- The total sample space =16 a) 2 or more consecutive H. =8 { HH HH, HHHT, HHTH, HHTT, HTHH, THHH, THHT, TTHH} P(2 OL more conseutve H) = 16 = 0.5 b) P(201mose consecntie H /first ztossesare TH) '= P(201 mose cons H and Ainst 2łosses are TH) P( First 2tosses are TH) first z tosses are TH = {THHH, THHT, THTH, THTT{ P( First ton2 tosses ase TH) = P(202 more cous H and First 2osses are TH) 3: THHH, THHT} Put 'n eg" 0 bothe ralues, neget 216 P(202 mose Cons,H /First 2 tosses are TH) = 2 4/16 4 %3D = O"5 At east 3H { HHHH, HHHT, HHTH, HTHH, THHH} = P(at kast 3H) 16 = 0:3125
Extracted text: QUESTION 12 Conditional Probability and Reduced Sample Space Consider a probability experiment in which a coin is flipped 4 times, and the result H or T is recorded for each. The sample space is given here { НННН, НННТ, ННTН, ННТТ, НТНН, НТНТ, НTTH, HTTT, ΤHHΗ, THHT, THΤH, TΗTT, TTΗΗ, TTΗT, TTTH, TT Compute each of the following probabilities. a) Find the probability 2 or more consecutive H b) Find the conditional probability 2 or more consecutive H given first 2 tosses are TH c) Find the probability of at least 3 H d) Find the conditional probability of at least 3 H given first two are H