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Can anyone solve this? Answer: 5/23

 Mar 14, 2019
edited by dgfgrafgdfge111  Mar 15, 2019
 #1
avatar+6196 
+2

\(\text{What's described can happen in the following ways}\\ \text{All 3 tiles match on a letter}\\ \text{All 3 tiles match on a number}\\ \text{1 of the tiles match both the other two, but the other two do not match}\\ \text{There are three ways that the previous line can occur}\\ [(1,2),(1,3)],[(1,2),(2,3)],[(1,3),(2,3)]\)

 

\(P[\text{3 tiles match letter}]=\dfrac{4}{24}\dfrac{3}{23}= \dfrac 1 2 \dfrac{1}{23}\\ P[\text{3 tiles match number}] = \dfrac 1 2 \dfrac{1}{23}\\ P[\text{2 tiles match the other tile but not each other}] = \dfrac{8}{24}\dfrac{4}{23} = \dfrac 4 3 \dfrac{1}{23}\\ P[\text{what's described}] = 2 \times \dfrac 1 2 \dfrac{1}{23} + 3 \times \dfrac 4 3 \dfrac{1}{23} = \dfrac{1}{23}+\dfrac{4}{23} = \dfrac{5}{23}\)

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 Mar 18, 2019
 #2
avatar+935 
+1

Thanks!!!

dgfgrafgdfge111  Mar 18, 2019

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