\(C=\dfrac{10}{11}+\dfrac{1}{11}\cdot\dfrac{3}{11}+\dfrac{1}{11}\cdot\dfrac{8}{11}\)
\(=\dfrac{1}{11}\cdot\left(10+\dfrac{3}{11}+\dfrac{8}{11}\right)\)
\(=\dfrac{1}{11}\cdot\left(10+\dfrac{11}{11}\right)\)
\(=\dfrac{1}{11}\cdot\left(10+1\right)\)
\(=\dfrac{1}{11}\cdot11=1\)
`C=10/11+1/11*3/11+1/11*8/11`
`C=10/11+1/11*(3/11+8/11)`
`C=10/11+1/11*1`
`C=10/11+1/11`
`C=11/11`
`C=1`