Roll a cube numbered 1 through 6. What is probability of you rolling 4 or less. Write answer in ratio,decimal and % ROUND TO NEAREST 100th

Expert Answers

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There are 4 favorable outcomes (1, 2, 3, 4) and 6 possible outcomes (1, 2, 3, 4, 5, 6).  The probability of an event is the number of favorable outcomes divided by the number of possible outcomes.

  • ratio:  4/6 or 2/3
  • decimal:  0.67
  • percent:  66.67%
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In a number cube problem like this one, there are six possible options.  The probability of rolling a four or less means that we are examining drawing four of the six options.  This means our probability is 4/6, which can also be shown as 4:6 or 4 to 6.  All three are representations of a ratio.

Whenever we have a fraction it has to be made into a decimal, divide the numerator by the denominator.  This means when I divide it, I get .666666, repeating  (Take 4, hit the divide button on the calculator, and press equals.) I will roud to the nearest hundredth and call this decimal .67, because the "6" is what causes me to round up.  To make a decimal into a percent, I simply multiply my decimal by 100 because literally percent means "of 100."  I can also move the decimal point two places to the right because it's the same procedure.  When I do this, my percent is 66.66%.  The problem states that I have to round to the nearest one hundredth, so my new percentage is 66.67%.  In the end, my answers are the following:

Ratio- 4/6

Decimal- .67

Percent- 66.67%

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