Step 1
State the formula for the probability
[tex]\text{The probability of an event occuring=}\frac{Number\text{ of required events}}{\text{Total number of events}}[/tex]where,
[tex]\begin{gathered} \text{Number of required events = }3\text{ for C and 1 for I} \\ \text{Total number of events=10} \end{gathered}[/tex]Step 2
Find the probability of choosing a C or an I
[tex]\begin{gathered} \text{Probability of choosing a C or an I = Probability of choosing a C }+\text{Probability of choosing an I} \\ \text{Probability of choosing a C }=\frac{3}{10} \\ \text{Probability of choosing an I = }\frac{1}{10} \\ _{} \end{gathered}[/tex][tex]\begin{gathered} \text{Probability of choosing a C or an I }=\frac{3}{10}+\frac{1}{10} \\ \text{Probability of choosing a C or an I }=\frac{3+1}{10} \\ \text{Probability of choosing a C or an I }=\frac{4}{10}=\frac{2}{5} \end{gathered}[/tex]Hence, the probability of choosing a C or an I = 2/5 in its lowest term