Question

A letter is chosen from ROCK and a standard die is rolled. a) P(at most 4)

Answer 1

Step 1

Draw the sample space;

Step 2

a) Find P(at most 4)

$\begin{gathered} \text{Probability of an event =}\frac{Number\text{ of required outcomes }}{\text{Total number of outcomes}} \\ \text{Number of required of events=16} \\ \text{Total number of outcomes}=24 \\ P(a\text{ most 4)=}\frac{16}{24}=\frac{2}{3} \end{gathered}$

Step 3

b) Find P(C)

$P(C)=\text{ }\frac{6}{24}=\frac{1}{4}$

Step 4

c) Find P( a vowel then an even number)

$P(a\text{ vowel then an even number)=}\frac{3}{24}=\frac{1}{8}$

Step 5

d) Find P(R or K then 6)

$P(R\text{ or K then 6) =}\frac{2}{24}=\frac{1}{12}$