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example 2
a soccer team finished their season in which they won 18 times, lost 4 times, and tied 3 times. what is the probability that they win a game? write this as a percent?
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a soccer team finished their season in which they won 18 times, lost 4 times, and tied 3 times. what is the probability that they didnt lose a game?
Step1: Calculate total number of games
The total number of games is the sum of wins, losses and ties. So, $18 + 4+3=25$ games.
Step2: Calculate number of non - loss games
Non - loss games are wins and ties. So, $18 + 3=21$ non - loss games.
Step3: Calculate probability of non - loss
The probability $P$ of an event is the number of favorable outcomes divided by the total number of outcomes. So, $P=\frac{21}{25}$.
Step4: Convert to percentage
To convert the fraction to a percentage, we multiply by 100. So, $\frac{21}{25}\times100 = 84\%$.
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$84\%$