Answer:
Sophia will draw a purple marble 120 times .
Step-by-step explanation:
Number of purple marbles in the bag = 3
Number of blue marbles in the bag = 4
Total number of marbles in the bag = 7
[tex]\text{Probability of drawing purple marble from the bag = }\frac{3}{7}[/tex]
Each time the marble drawn is put back into the bag.
Also, number of draws = 280
So, Sophia will draw a purple marble = Probability of drawing a purple marble × Number of draws
[tex]\textbf{Hence, Sophia will draw purple marble = }\bf\frac{3}{7}\times 280=120\:\:times[/tex]
Therefore, Sophia will draw a purple marble 120 times .
