Question

1. You have three different coins where the probabilities of getting heads are 0.5, 0.7, and 0.2 respectively You plan to flip each coin and count the total number of heads. You're curious what the probability of getting exactly two heads is. [1 point a. Explain why you cannot use the Binomial model for this situation. [3 points] b. Show that the probability of getting exactly two heads is 0.38. Define any events you want to use in words. c. You close your eyes and flip the three coins. Your friend mentions that there are at least [2 points two heads showing. What is the probability that all three coins show heads given this information?

Answer 1

O. Giuen fferent coins, Pwbailtes of settiy Heads ar 0.5, 0.7,0.2 Kle carnor use Bimmial drstbuution have defferent ProkasiuiY of Becawse, 3 Coms 8eth Heads tial has fs oun differens Pobabiuiies Hee, eacs 8.e n wybe of evens -3. But, prokallty of gethy Head C) And gethng Tail C2 are diferent in each tial Hae, Pard a Valuey are . vanyin. So, Bmomial model cannor be applied exactly to heads when 3 coins are Settins fupved HHT 3 Heads Possibiltej TH THH HHTt HTH +THH (x ss6+6t14 76 O.38 200 coO

C Fiend 2 tteads roentions thar there are ateasr shown Probabiur thar au 2 con shouo Heads HtT+ HTH tTHH tHH 동 (금) (금) )) e) ECG)CE) 57)2) 1s reuuned Prbbiuity