SOLUTION: In a bag with 100 marbles, 15 have only one red stripe, 26 have only one green stripe, 10 have only one blue stripe, 5 have one blue and one green stripe, 7 have one red and one gr

Algebra ->  Probability-and-statistics -> SOLUTION: In a bag with 100 marbles, 15 have only one red stripe, 26 have only one green stripe, 10 have only one blue stripe, 5 have one blue and one green stripe, 7 have one red and one gr      Log On


   



Question 113194This question is from textbook Finite Math
: In a bag with 100 marbles, 15 have only one red stripe, 26 have only one green stripe, 10 have only one blue stripe, 5 have one blue and one green stripe, 7 have one red and one green stripe. there are many that have no sripes. Determine the probability of randomly selecting a marble from the bag that has exactly one stripe; the probability of selecting one that has exactly two stripes; the probability of selcting one that has no stripes; and one with at least one red stripe. This question is from textbook Finite Math

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
Let's start with a table of what is in the bag so that we can readily see what is available:

To get the 63, I just added all of the numbers given, and to get the 37, I subtracted 63 from 100, the total number of marbles in the bag.

There are 15 plus 26 plus 10 marbles that have exactly one stripe, so the probability of selecting a marble that has exactly one stripe is 51%2F100 or 51%.

There are 12 marbles that have exactly two stripes, so there are 12%2F100 ways to pick one of those, so the probability is 12%.

Given the pattern I've established you should be able to calculate the remaining probabilities in the question.

Hope this helps,
John