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A card is selected at random from a pack of 16 cards which are numbered one to 16.
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What is the probability of the selected card having an even number?
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The probability of any event occurring can be written as a fraction, where the top number or numerator is the number of successful outcomes and the bottom number or denominator is the number of possible outcomes.
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In this question, we have cards numbered from one to 16.
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The even-numbered cards can all be divisible by two.
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In this case, the even-numbered cards are two, four, six, eight, 10, 12, 14, and 16.
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As there are eight even numbers, there are eight successful outcomes picking an even number.
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There are 16 possible outcomes, the numbers one to 16.
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This means that the probability of selecting an even number is eight sixteenths or eight over 16.
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We can simplify this fraction by dividing the numerator and the denominator by eight.
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Eight divided by eight is one.
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And 16 divided by eight is equal to two.
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Therefore, the probability of selecting an even number is one-half.
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We could also write this as a decimal, 0.5, or a percentage, 50 percent.
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There is a 50 percent chance of selecting an even number.