The are two drawers and each drawer contains yellow socks and blue socks. Apart

Question

The are two drawers and each drawer contains yellow socks and blue socks. Apart form the color, the socks are all identical In the first drawer there are 30 yellow socks and 20 blue socks. In the second drawer there are 15 yellow socks and 45 blue socks. In another drawer there are 10 yellow socks and 60 blue socks. Consider the following scenarios a) You take two random socks from the first drawer and they match. What is their most likely color? b) You take two random socks from the second drawer and they match. What is their most likely color? c) You take one random sock from the first drawer, one random sock from the second drawer and they match. What is their most likely color?

Explanation / Answer

a) probabilty that both are yellow =(30/50)*(29/49)=0.355

probabilty that both are blue =(20/50)*(19/49)=0.155

hence most likely is yellow

b)

probabilty that both are yellow =(15/60)*(14/59)=0.059

probabilty that both are blue =(45/60)*(44/59)=0.559

hence blue is more likely

c)

probabilty that both are yellow =(30/50)*(15/60)=0.15

probabilty that both are blue ==(20/50)*(45/60) =0.3

hence blue is more likely

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