Combined Probability¶
Combined Probability is the result of two probabilities contributing to a single probability. For example, you might say the probability of flipping 2 heads in a row is \(1/4\).
Example¶
There is a d12 die on the table, Ronald gives it a throw. He needs to roll both a 3, and a 6 on a second roll. Should he do this, he will have £600 in his wallet. What is the probability Ronald pulls it off?
\[
\begin{align}
chance\;of\;rolling\;a\;3 & = \frac{1}{12} \\
chance\;of\;rolling\;a\;6 & = \frac{1}{12} \\
combined\;probability & = \frac{1}{144}
\end{align}
\]
What is the probability that Ronald doesn't win £600?
\[
\begin{align}
combined\;probability & = \frac{1}{144} \\
probability & = 1 - \frac{1}{144} \\
& = \frac{143}{144}
\end{align}
\]
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