Question 1115749
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x = probability of choosing purple (probability in decimal form)
The given table is
<table border=1><tr><th>Brown</th><th>Red</th><th>Purple</th><th>White</th><th>Pink</th></tr><tr><td>0.21</td><td>0.32</td><td>x</td><td>0.1</td><td>0.2</td></tr></table>
All of the probabilities of a probability distribution must add to 1. So let's add up these given values, set the sum equal to 1, and solve for x


0.21+0.32+x+0.1+0.2 = 1
x+0.83 = 1
x+0.83-0.83 = 1-0.83
x = 0.17


So the probability of picking purple is 0.17


Next we add up all the probabilities that are not pink
0.21+0.32+0.17+0.1 = 0.8


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Or we can take a much shorter route: subtract 0.2 from 1 to get 1-0.2 = 0.8
The value 0.2 corresponds to the probability of choosing pink, so the complete opposite of that is 0.8; note how 0.2+0.8 = 1


Whichever method you use, <font color=red size=4>the answer is 0.8</font>
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