SOLUTION: The colors of gumballs are distributed as shown below. Find the probability of selecting anything other than pink if you choose a gumball at random from a large bag. Show your work

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Question 1115749: The colors of gumballs are distributed as shown below. Find the probability of selecting anything other than pink if you choose a gumball at random from a large bag. Show your work.

Brown Red Purple White Pink
0.21 0.32 ? 0.1 0.2
Found 2 solutions by ikleyn, jim_thompson5910:
Answer by ikleyn(52805)   (Show Source): You can put this solution on YOUR website!
.
Brown	Red	Purple	White	Pink
0.21	0.32	?	0.1	0.2


1.  The probability of selecting Purple (which is hidden under "?" sign) is 


    ? = Purple = 1 - (0.21 + 0.32 + 0.1 + 0.2) = 0.17.



2.  The probability of selecting anything other than pink if you choose a gumball at random from a large bag = 


    0.21 + 0.32 + 0.17 + 0.1 = 0.8



3.  Would I be more smart than I am, I could answer the problem question quicker:


    The probability of selecting anything other than pink if you choose a gumball at random from a large bag = 1 - 0.2 = 0.8.

Solved and explained.


Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

x = probability of choosing purple (probability in decimal form)
The given table is
BrownRedPurpleWhitePink
0.210.32x0.10.2

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, the answer is 0.8
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