Question

An urn contains 4 red, 7 white and 3 blue marbles. What is the probability that one of each color is selected.

Answer 1

We need to find the probability of picked out each color. The are 4 red, 7 white, and 3 blue marbles. There are 14 marbles total.

So there are 4 red marbles out of the 14 marbles total. As fraction it is $\frac{4}{14}$ which simplifies to $\frac{2}{7}$. To convert to a decimal, divide 2 by 7 to get about 0.2857. To convert a decimal to a percent, move the decimal point 2 spaces down to get 28.57%

There are 7 white marbles out of 14 marbles total. As fraction it is $\frac{7}{14}$ which simplifies to $\frac{1}{2}$. This is 0.5 or 50%.

There are 3 blue marbles out of 14 marbles total.  As fraction it is $\frac{3}{14}$ which can't simplify. Divide 3 by 14 to get the decimal which is about 0.2143. Move the decimal 2 spaces down (basically dividing it by 100) to get 21.43%.