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When can the probability of an event help you make a decision?
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The probability of an event tells us what the chances are that this event will happen. Let's think about a few examples.
In the daily weather forecast, we are told the chance of rain as a percentage. Let's take a look at an example forecast.
Next, let's imagine that there are two ways to win a prize at the school carnival — landing on heads when flipping a coin or rolling a 6 on a die.
We would like to choose the strategy that is more likely for us to win. Let's compare the probabilities to help us decide! The number of possible outcomes when flipping a coin is 2 and when rolling a die is 6. The number of favorable outcomes, in both situations, is 1. P(flipping heads) & = 1/2 =50 % [0.7em] P(rolling6) & = 1/6 ≈ 16.7 % Since the probability of landing on heads is 3 times higher than the probability of rolling a 6, we should choose the first game. Probabilities can support us in making reasonable decisions and also can be used to solve a problem.