SOLUTION: A carnival game allows the player to randomly pick a marble from a bag. in the bag there are 25 white, 20 blue, 10 green and 5 black marbles. prizes are given as follows: blue earn

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Question 701848: A carnival game allows the player to randomly pick a marble from a bag. in the bag there are 25 white, 20 blue, 10 green and 5 black marbles. prizes are given as follows: blue earns a small prize, green earns a medium prize and black earns a large prize. white earns nothing.
A) if you purchase one chance, what is the probability of winning something?
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
P(winning something) = 1 - P(winning nothing) = P(drawing a white marble)

There are 25 white marbles

and 25+20+10+5 = 60 marbles.

The probability of drawing a white marble is

25 ways out of 60 ways. In probability theory,

"out of" means "over", so the probability of

drawing a white mable is 25 over 60 or 25%2F60

and that reduces to 5%2F12

So 

P(winning something) = 1 - P(winning nothing) = 

1 - P(drawing a white marble) = 1 - 5%2F12 = 12%2F12 - 5%2F12 = 7%2F12.

So you'll average winning something 7/12ths of the 
times you purchase just one chance.  You'll win something 
7 times out of every 12 times you purchase just one chance.

Edwin