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alberta diploma question a television game show has listed the followin…

Question

alberta diploma question
a television game show has listed the following odds in favour of winning for three of their games.

gameodds of winning
central eye2:5
minefield1:4

what is the probability of winning the flipem game?
write your answer as a fraction or decimal

Explanation:

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 $P=\frac{1}{1+3}=\frac{1}{4}=0.25$.

Answer:

$\frac{1}{4}$ or $0.25$