Question

a jar holds 400 tumbled stones in three different colors. colin chooses three random samples from the jar, each containing 50 stones. the table shows his results. complete each statement based on colins data. there are likely to be more brown stones than blue stones in the jar. it is likely that fewer than half the stones in the jar are blue. there are likely to be fewer? stones in the jar than any other color. green brown blue

Explanation:

Step1: Calculate the total number of each color in the samples

• Green: \(11 + 9+13=33\)
• Brown: \(21 + 22 + 19=62\)
• Blue: \(18+19 + 18=55\)

Step2: Analyze the proportion of each color

Since the samples are random, we can assume the proportion in the samples is similar to the proportion in the jar.

• The total number of stones in the samples \(=3\times50 = 150\)
• Proportion of green stones \(=\frac{33}{150}=0.22\)
• Proportion of brown stones \(=\frac{62}{150}\approx0.413\)
• Proportion of blue stones \(=\frac{55}{150}\approx0.367\)

Answer:

Green