Question

A vending machine has 5 colors (white, red, green, blue, and yellow) of gumballs and an equal chance of dispensing each.

Answer 1

Answer in fraction form = 1/20

Answer in decimal form = 0.05

Answer in percent form = 5%

These are three ways to express the same thing

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Explanation:

Assume the gumball machine only has 5 gumballs, one of each color. The probability of getting yellow is 1/5 since there is one that is yellow out of 5 total.

The probability of getting a lion rubber band is 1/4 for similar reasoning as above.

Because the two events (getting yellow, getting a lion) are independent, this means we can multiply the two probabilities to get (1/5)*(1/4) = 1/20

Use your calculator to see that 1/20 = 0.05 which converts to 5% when you move the decimal point over 2 spots to the right.