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A single letter from the word CAPPUCCINO is chosen. What is the probability of choosing a C or an I? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

Sagot :

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