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)=}(16)/(24)=(2)/(3) \end{gathered}`

Step 3

b) Find P(C)

`P(C)=\text{ }(6)/(24)=(1)/(4)`

Step 4

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

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

Step 5

d) Find P(R or K then 6)

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