Question

3. What is the probability of rolling a 5 on a fair die, if we know that the roll is odd? 4 Lamino dr

Answer 1

Let:

A = Rolling an odd number

B = Rolling a 5

N = Number of possible outcomes

so:

`\begin{gathered} P(A)=(3)/(6)=(1)/(2) \\ P(B|A)=(P(B\cap A))/(P(A)) \\ \text{Where:} \\ P(B\cap A)=P(A)\cdot P(B) \\ P(B)=(1)/(6) \\ so\colon \\ P(B|A)=((1)/(6)\cdot(1)/(2))/((1)/(2))=(1)/(6) \end{gathered}`