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:
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%