A spinner has red, green, blue, and orange sections. The probability of landing on red is 2/3, on green is 1/12, on blue is 1/12
. In simplest form, what is the probability of landing on orange?
1 answer:
Answer:
Step-by-step explanation:
P(landing on orange)=1 - [2/3 + 1/12 + 1/12]
![=1-[\frac{2}{3}+\frac{2}{12}]\\\\=1-[\frac{2}{3}+\frac{1}{6}]\\\\=1-[\frac{2*2}{3*2}+\frac{1}{6}]\\\\=1-[\frac{4}{6}+\frac{1}{6}]\\\\=1-[\frac{4+1}{6}]\\\\=1-\frac{5}{6}\\\\=\frac{6}{6}-\frac{5}{6}\\\\=\frac{1}{6}](https://tex.z-dn.net/?f=%3D1-%5B%5Cfrac%7B2%7D%7B3%7D%2B%5Cfrac%7B2%7D%7B12%7D%5D%5C%5C%5C%5C%3D1-%5B%5Cfrac%7B2%7D%7B3%7D%2B%5Cfrac%7B1%7D%7B6%7D%5D%5C%5C%5C%5C%3D1-%5B%5Cfrac%7B2%2A2%7D%7B3%2A2%7D%2B%5Cfrac%7B1%7D%7B6%7D%5D%5C%5C%5C%5C%3D1-%5B%5Cfrac%7B4%7D%7B6%7D%2B%5Cfrac%7B1%7D%7B6%7D%5D%5C%5C%5C%5C%3D1-%5B%5Cfrac%7B4%2B1%7D%7B6%7D%5D%5C%5C%5C%5C%3D1-%5Cfrac%7B5%7D%7B6%7D%5C%5C%5C%5C%3D%5Cfrac%7B6%7D%7B6%7D-%5Cfrac%7B5%7D%7B6%7D%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B6%7D)
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