Question

a bag contains 3 red stickers, 10 blue stickers, and 7 yellow stickers. a student chooses 1 sticker at random from the bag, records the color, and puts the sticker back in the bag before choosing another sticker. a sticker is chosen 10 times. the results are shown in the table.

red	4
blue	4
yellow	2

compare the number of times each color was chosen to the expected number of times each color should have been chosen. choose \more\ or \fewer\ to complete each statement.
the color red was chosen more / fewer times than expected.
the color blue was chosen more / fewer times than expected.
the color yellow was chosen more / fewer times than expected.

Explanation:

Step1: Calculate total stickers

Total stickers in bag: \(3 + 10 + 7 = 20\).

Step2: Find expected counts (10 trials)

• Expected red: \(\frac{3}{20} \times 10 = 1.5\) (actual: 4, so 4 > 1.5 → more).
• Expected blue: \(\frac{10}{20} \times 10 = 5\) (actual: 4, so 4 < 5 → fewer).
• Expected yellow: \(\frac{7}{20} \times 10 = 3.5\) (actual: 2, so 2 < 3.5 → fewer).

Answer:

1. For red: more; 2. For blue: fewer; 3. For yellow: fewer