SOLUTION: Marble 1 was red MArble 2 was not red Marble 3 was blue Marble 4 was the same color as marble 1 Marble 5 was the same color as marble 2 A jar contained 10 marbles-some red,s

Question 462855: Marble 1 was red
MArble 2 was not red
Marble 3 was blue
Marble 4 was the same color as marble 1
Marble 5 was the same color as marble 2
A jar contained 10 marbles-some red,some white, and some blue. The information above is about 5 marbles that were drawn from the jar. IF x is the total number of blue marbles drawn, which of the following statements must be true?
a) The only possible value is x is 1
b)The only possible value is x is 2
c)The only possible value is x is 3
d)The only possible value is x are 1 and 2
e)The only possible value is x is 1 and 3
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Assume no replacement of marbles.

We wish to find which of the five marbles could be blue (be careful about "which of the following statements MUST be true" followed by "possibilities," it only asks for all possible values).

We know that marble 1 cannot be red. Marble 2 may or may not be blue. Marble 3 is obviously blue. Marble 4 cannot be blue because marble 1 is red. Marble 5 is the same color as marble 2, which could be blue. Here, we note that marble 3 is blue and marbles 2 and 5 are either both blue or both a different, non-blue color. Hence, the only possible values of x are 1 and 3.
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