Question

1-58 place the following probabilities on the number line below. a) a ¼ chance that you will be the team member who gets supplies tomorrow. b) a 25% chance of snow tomorrow. c) a 0.8 probability of eating vegetables with dinner. d) p(blue marble) = ⅝. e) a 0.01 probability that it will be 85° on saturday.

Explanation:

Step 1: Convert all probabilities to decimal form

• a) \( \frac{1}{4} = 0.25 \)
• b) \( 25\% = \frac{25}{100} = 0.25 \)
• c) \( 0.8 \) (already in decimal)
• d) \( \frac{5}{8} = 0.625 \) (since \( 5\div8 = 0.625 \))
• e) \( 0.01 \) (already in decimal)

Step 2: Order the decimals from least to greatest

• \( 0.01 < 0.25 = 0.25 < 0.625 < 0.8 \)
• Corresponding to the probabilities: e, a = b, d, c

Step 3: Place on the number line (0 to 1)

• e (\( 0.01 \)) is close to 0.
• a (\( 0.25 \)) and b (\( 0.25 \)) are at the same position (25% of the way from 0 to 1).
• d (\( 0.625 \)) is between 0.5 and 0.75 (since \( 0.625 = \frac{5}{8} \)).
• c (\( 0.8 \)) is close to 1 (80% of the way from 0 to 1).

Answer:

• e: near 0 (0.01)
• a and b: at 0.25 (1/4 or 25%)
• d: at 0.625 (5/8)
• c: at 0.8

(When placing on the number line, mark each point according to its decimal value between 0 and 1.)