Answer:
1/36
Step-by-step explanation:
The probability of it landing on any specific color is 1/6, but it could land on any other color after that. The probability of landing on any color after the first is also 1/6. So, we multiply 1/6*1/6 to get our answer of 1/36. Here is a table visually representing what we just did, with G representing green, O representing orange, B representing blue, Y representing yellow, R representing red, and P representing purple. I've also bolded every other entry to make it easier to see, and also italicized the value we're looking for.
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<u>R, R . </u><u>R, O .</u><u> R, Y .</u><u> R, G </u><u>. R, B .</u><u> R, P </u><u>.</u>
<u>O, O . </u><u>O, R</u><u> . O,Y . </u><u>O, G .</u><u> O, B . </u><u>O, P .</u>
<u>Y, Y . </u><u>Y, R</u><u> . Y, O . </u><u>Y, G</u><u> . Y, B . </u><u>Y, P </u><u>.</u>
<u>G, G . </u><u>G, R </u><u>. </u><em>G, O</em><u> . </u><u>G, Y </u><u> . G, B . </u><u>G, P </u><u>.</u>
<u>B, B . </u><u>B, R </u><u>. B, O . </u><u>B, Y </u><u>. B, G . </u><u>B, P .</u>
<u>P, P . </u><u>P, R .</u><u> P, O .</u><u> P, Y </u><u>. P, G . </u><u>P, B .</u>
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If we count these, we get a total of 36 possibilities, and green and then orange (G, O) is 1/36 of these. This further proves our answer is 1/36.
Hope it helps :)