A box contains 6 red marbles, 4 green marbles, 3 blue marbles, and 2 yellow marbles. If Greg chooses one marble at random 300 times, how many times would he expect the marble to be blue?

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Answer:

[tex]60[/tex] times

Step-by-step explanation:

There are [tex]6+4+3+2=15[/tex] marbles in total. Out of those, [tex]3[/tex] are blue, so the probability of pulling a blue marble is [tex]\frac{3}{15}=\frac{1}{5}[/tex]. However, this is only the probability of pulling a blue marble when [tex]1[/tex] marble is pulled at random. Therefore, we can expect a blue marble to be pulled [tex]\frac{1}{5}*300=60[/tex] times if [tex]1[/tex] marble is pulled [tex]300[/tex] times at random. Hope this helps!