Question

A fair coin with is tossed five times. Let A be the event that at least two heads appear; let B be the event that at most four heads appear; let C be the event that exactly 3 heads appear. Find the following probabilities: VII. 123 (a) P(A), P(B), and P(C) P(B|C), P(C|B), P(B|A) (b)

Answer 1

answers Given daba, - - A toss the sample space fair coin toss of CH, A, H.H.A............ (1.175T)Y ca) QCA) PCB) and y Anthis event is at least two head appear, a PLA) = 26 - 0.8125 a at most town head head arrean. Gutt 9(82 - 31 exactly - 0.96875 3 head anpear, RL - Bra = 0.34 375 PL BIC) PLIED P (816) (6) 0 PC814) - PC(Bnc) TO

00) 9690) = P(bnc) PIB) = 0.3548 Qü) [B1A) - P(ANO) PIA e asht 20134 = 0.9615