Tanya performed an experiment in which she randomly pulled a marble from a bag, recorded its color, put it back, and then repeated. The following table represents the number of times each color of marble was pulled.

Question

Color of Marble
Frequency
Green

25

Blue

35

Purple

40



If Tanya repeats the experiment 50 more times, how many of those times should she expect to pull a purple marble?
Enter your answer as a number, like this: 42

Answer 1

To find out how many times Tanya should expect to pull a purple marble when she repeats the experiment 50 more times, we first need to calculate the total number of pulls from the initial experiment:

\[ \text{Total pulls} = 25 + 35 + 40 = 100 \]

Next, we calculate the proportion of purple marbles from the initial experiment:

\[ \text{Proportion of purple marbles} = \frac{\text{Frequency of purple}}{\text{Total pulls}} = \frac{40}{100} = 0.4 \]

Now, we use this proportion to find the expected number of purple marbles in the next 50 pulls:

\[ \text{Expected number of purple marbles} = \text{Proportion of purple} \times \text{Number of additional pulls} = 0.4 \times 50 = 20 \]

Thus, Tanya should expect to pull a purple marble approximately 20 times in the next 50 pulls.