Question

Please help I don't get how to do this!

A spinner has three congruent sectors colored orange, green, and purple.

Use the rule of probability of each event.
a) landing on orange, then landing on purple

b) landing on the same color 2 times in a row.

Answer 1

since the events are independent, each spin has a 1/3 chance of being any given color.

So, that's a 1/3 * 1/3 = 1/9 chance of hitting any two given colors in sequence.

For hitting the same color twice, there's a 1/1 chance of hitting *some* color on the first spin. Then, there's a 1/3 chance of hitting the same color next time, so that's 1 * 1/3 = 1/3 chance.