Question

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.

Answer 1

Step 1

State the formula for the probability

`\text{The probability of an event occuring=}\frac{Number\text{ of required events}}{\text{Total number of events}}`

where,

`\begin{gathered} \text{Number of required events = }3\text{ for C and 1 for I} \\ \text{Total number of events=10} \end{gathered}`

Step 2

Find the probability of choosing a C or an I

`\begin{gathered} \text{Probability of choosing a C or an I }=(3)/(10)+(1)/(10) \\ \text{Probability of choosing a C or an I }=(3+1)/(10) \\ \text{Probability of choosing a C or an I }=(4)/(10)=(2)/(5) \end{gathered}`

Hence, the probability of choosing a C or an I = 2/5 in its lowest term