# Jason has a cube with colored sides: red, orange, yellow, green, blue, and purple. give the theoretical probability of each of the following events. Rolling a primary color. not rolling a...

Jason has a cube with colored sides: red, orange, yellow, green, blue, and purple.

give the theoretical probability of each of the following events.

Rolling a primary color.

not rolling a purple or blue.

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Expert Answers

embizze | Certified Educator

(1) The primary colors are red, yellow, and blue. The probability of rolling aprimary color is `3/6=1/2` .(This assumes that the die is "fair" -- each side has equal probability of showing up.)

(2) The probability of not rolling purple or blue is the same as that of rolling red, yellow, orange, or green.

So we have `1/6+1/6+1/6+1/6=4/6=2/3` .

Or we can use the complement -- the probability of rolling purple or blue is `2/6=1/3` , so the probability of not rolling them is the complement `1-1/3=2/3` .