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So if I have a bag with $5 $marbles in it with different colors. Red, orange, purple, blue and green. I draw a marble, put it back and then draw again. What's the probability of getting at least one blue marble between my two draws?

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    $\begingroup$ Where are you having trouble with this? Please show what you have tried, or at least think you should do. $\endgroup$ – Graham Kemp May 4 at 2:15
  • $\begingroup$ If there are only two draws there can be nothing in between. $\endgroup$ – user May 4 at 8:55
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Probability of getting no blue in two draws is $(\frac{4}{5})^2$ so getting at least one blue has $P=1-(\frac{4}{5})^2=\frac{9}{25}$.

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