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Can anyone solve this? Answer: 5/16

 Mar 14, 2019
edited by dgfgrafgdfge111  Mar 15, 2019
 #1
avatar+6042 
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\(P[\geq 2\text{ heads in either compartment}]= \\ 2P[\geq 2\text{ heads in a given compartment}]=\\ 2\left(P[\geq 2\text{ heads|3 coins in compartment}]P[\text{3 coins in compartment}] +\\ P[\geq 2\text{ heads|2 coins in compartment}]P[\text{2 coins in compartment}] \right)=\\ 2\left(\left(\left(\dfrac 1 8 + \dbinom{3}{2}\dfrac 1 8\right)\dfrac 1 8\right)+\dfrac 1 4 \dbinom{3}{2}\dfrac 1 8\right) = \\ 2\left(\dfrac{1}{16}+\dfrac{3}{32}\right)= \dfrac{5}{16}\)

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 Mar 15, 2019
 #2
avatar+893 
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Thanks!!!

dgfgrafgdfge111  Mar 16, 2019

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