Q:

Sophia has a bag with 3 purple marbles and 4 blue marbles in it. She is going to randomly draw a marble from the bag 280 times, putting the marble back in the bag after each draw. Complete the following statement with the best prediction. Sophia will draw a purple marble...Can anyone help me????

Accepted Solution

A:
Answer:Sophia will draw a purple marble 120 times .Step-by-step explanation:Number of purple marbles in the bag = 3Number of blue marbles in the bag = 4Total 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 = 280So, 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 .