probabilty

Hello, drake!

This is a simple problem.
Exactly where is your difficulty?


A penny is tossed and a die is rolled.
Find the probability that the penny turns up Tails and the die turns up "3".

\(\displaystyle \begin{array}{cccccc}\text{For the penny:} &P(\text{Tails}) &=& \frac{1}{2} \\ \\[-3mm] \text{For the die:}& P("3") &=& \frac{1}{6} \end{array}\)

\(\displaystyle \text{Since the events are independent: }\:p(\text{Tails}\, \wedge\text{"3"}) \;=\;\frac{1}{2}\cdot\frac{1}{6} \;=\;\frac{1}{12}\)
 
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