CaldwellX145155 CaldwellX145155
  • 25-10-2022
  • Mathematics
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3. What is the probability of rolling a 5 on a fair die, if we know that the roll is odd? 4 Lamino dr

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RioR636263 RioR636263
  • 25-10-2022

Let:

A = Rolling an odd number

B = Rolling a 5

N = Number of possible outcomes

so:

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

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