elizabeth has a bag of 50 marbles in different colors. she randomly selects one marble from the bag, records…
elizabeth has a bag of 50 marbles in different colors. she randomly selects one marble from the bag, records the result, puts the marble back in the bag, and selects again. the table below shows the outcomes she records. color times selected blue 7 yellow 3 green 6 red 4 based on the data, estimate how many green marbles are in elizabeths bag. if necessary, round your answer to the nearest whole number. green marbles
Answer
Explanation:
Step1: Calculate total number of selections
$7 + 3+6 + 4=20$
Step2: Find proportion of green - marble selections
The proportion of green - marble selections is $\frac{6}{20}=\frac{3}{10}$
Step3: Estimate number of green marbles in the bag
Let $x$ be the number of green marbles in the bag. We know there are 50 marbles in total. Using the proportion, we have $\frac{x}{50}=\frac{3}{10}$. Cross - multiply gives $10x = 3\times50$, so $x=\frac{3\times50}{10}=15$
Answer:
15