Question Video: Determining the Probability of Compound Events Mathematics • 7th Grade

A card is selected at random from a pack of 16 cards which are numbered 1 to 16. What is the probability of the selected card having an even number?

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Video Transcript

A card is selected at random from a pack of 16 cards which are numbered one to 16. What is the probability of the selected card having an even number?

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.

In this question, we have cards numbered from one to 16. The even-numbered cards can all be divisible by two. In this case, the even-numbered cards are two, four, six, eight, 10, 12, 14, and 16. As there are eight even numbers, there are eight successful outcomes picking an even number.

There are 16 possible outcomes, the numbers one to 16. This means that the probability of selecting an even number is eight sixteenths or eight over 16. We can simplify this fraction by dividing the numerator and the denominator by eight. Eight divided by eight is one. And 16 divided by eight is equal to two.

Therefore, the probability of selecting an even number is one-half. We could also write this as a decimal, 0.5, or a percentage, 50 percent. There is a 50 percent chance of selecting an even number.

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