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Question
alberta diploma question
a television game show has listed the following odds in favour of winning for three of their games.
| game | odds of winning |
|---|---|
| central eye | 2:5 |
| minefield | 1:4 |
what is the probability of winning the flipem game?
write your answer as a fraction or decimal
Step1: Recall odds - probability conversion formula
The odds in favor of an event $E$ is given as $a:b$. The probability of the event $E$, $P(E)=\frac{a}{a + b}$.
Step2: Identify values for Flip'em game
For the Flip'em game, the odds in favor of winning are $1:3$. Here $a = 1$ and $b=3$.
Step3: Calculate the probability
Using the formula $P=\frac{a}{a + b}$, we substitute $a = 1$ and $b = 3$ to get $P=\frac{1}{1+3}=\frac{1}{4}=0.25$.
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$\frac{1}{4}$ or $0.25$