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 A jar contains five red marbles and three green marbles. A marble is drawn at random and notreplaced. A second marble is then drawn from the jar.
1) Find the probability that the first marble is red and the second marble is green.
2) Find the probability that both marbles are red.
3) Find the probability that both marbles are the same color.

i dont understand how to find 2 & 3, can someone explain please? thank you



Answer :

[tex]1)\\A-the\ first\ marble\ is\ red\ and\ the\ second\ marble\ is\ green\\\\P(A)=\frac{5}{8}\cdot\frac{3}{7}=\frac{15}{56}\\\\2)\\B-goth\ marbles\ are\ red\\\\P(B)=\frac{5}{8}\cdot\frac{4}{7}=\frac{5}{2}\cdot\frac{1}{7}=\frac{5}{14}\\\\3)\\C-both\ marbles\ are\ the\ same\ color\\\\P(C)=\frac{5}{8}\cdot\frac{4}{7}+\frac{3}{8}\cdot\frac{2}{7}=\frac{20}{56}+\frac{6}{56}=\frac{26}{56}=\frac{13}{28}[/tex]
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