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Sophia has a bag with purple marbles and blue marbles in it. She is going to randomly draw a marble from the bag 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...Choose answer:(A) Exactly times(B) Close to times but probably not exactly times(C) Exactly times(D) Close to times but probably not exactly times
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Q. Sophia has a bag with purple marbles and blue marbles in it. She is going to randomly draw a marble from the bag 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...Choose answer:(A) Exactly times(B) Close to times but probably not exactly times(C) Exactly times(D) Close to times but probably not exactly times
- Calculate Total Marbles: Sophia has a total of purple marbles and blue marbles, making it marbles in total.
- Calculate Probability of Drawing Purple Marble: The probability of drawing a purple marble in a single draw is the number of purple marbles divided by the total number of marbles, which is
- Predict Number of Purple Marbles in Draws: To predict how many times Sophia will draw a purple marble in draws, we multiply the probability of drawing a purple marble by the total number of draws: .
- Calculate Expected Number of Purple Marbles: Calculating the expected number of times Sophia will draw a purple marble gives us times.
- Considerations for Actual Draws: While the calculation gives us an exact number, in practice, the actual number of times Sophia draws a purple marble will likely be close to but not exactly due to the randomness of each draw.
