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

A letter is chosen from ROCK and a standard die is rolled. a) P(at most 4)-example-1
User Alex Barnes
by
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1 Answer

24 votes
24 votes

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)

A letter is chosen from ROCK and a standard die is rolled. a) P(at most 4)-example-1
User Futureal
by
3.2k points