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he have do find out the probabiuty that the Sleted Coin was tuo -headed Coin given that it shows heade. we Can Solve this pooblem by using Baye's theorem

he have do find out the probabiuty that the Sleted Coin was tuo -headed Coin given that it shows heade. we Can Solve this pooblem by using Baye's theorem

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Step 1; Total Gin in the box = 3 In these three Cins one is two headed Coin, another is a fair Gin and the third is a bigged Coin with frobability of head 75. we selest one box at random and flib it. hee have to find out the probability Coin was tuao -headed Gin ginen that it shows hegds. Coin from the that the Shected e Can Solve this booblem by using Beye's theorem
Transcribed Image Text:Step 1; Total Gin in the box = 3 In these three Cins one is two headed Coin, another is a fair Gin and the third is a bigged Coin with frobability of head 75. we selest one box at random and flib it. hee have to find out the probability Coin was tuao -headed Gin ginen that it shows hegds. Coin from the that the Shected e Can Solve this booblem by using Beye's theorem
Steß2: lot first do fine Some events !- E, : event of Selen ting a two-headed Coin. Ez: exont of selcting the fair Coin. Ez : exent of Selecting the bioged Gin. A: event that the randomly selected Coin s hows heads when flipped. Row, As we Sulect a Coin from the box randomly, the Sele hon of cach Coin is egually likely, Thus- PC Saleting a two-headed Coin) PCEz) = PC Selecting a dair Gin) = PCB3) = P(Seleching the baised Gin) PCE3 ) = = 1. ニ and PCAIE:) = Probabi lity dhat flipped Coin Shows head giren that we slet the two- headad Coin ( because for two-headed Coin heod is certein) Robability that flikhed Coin shows hegd giren select the fair Coin ニ 1 PCAIE2) = that we 1 and. PCAIE3) = Bo bability that flipped Coin Shows head giken that we Select the baulfed Coin = 0:75
Transcribed Image Text:Steß2: lot first do fine Some events !- E, : event of Selen ting a two-headed Coin. Ez: exont of selcting the fair Coin. Ez : exent of Selecting the bioged Gin. A: event that the randomly selected Coin s hows heads when flipped. Row, As we Sulect a Coin from the box randomly, the Sele hon of cach Coin is egually likely, Thus- PC Saleting a two-headed Coin) PCEz) = PC Selecting a dair Gin) = PCB3) = P(Seleching the baised Gin) PCE3 ) = = 1. ニ and PCAIE:) = Probabi lity dhat flipped Coin Shows head giren that we slet the two- headad Coin ( because for two-headed Coin heod is certein) Robability that flikhed Coin shows hegd giren select the fair Coin ニ 1 PCAIE2) = that we 1 and. PCAIE3) = Bo bability that flipped Coin Shows head giken that we Select the baulfed Coin = 0:75
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