Multiple choice

Find the value of both quantities and then state the correct relationship. Quantity I- A box contains 5 green balls, 3 yellow balls and 3 white balls. What is the probability that they are of different color if 3 balls picked at random? Quantity II- A card is drawn at random from a deck. Find the probability to getting either an king or an ace?

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity II > Quantity I

  4. Quantity II ≥ Quantity I

  5. Quantity I = Quantity II or Relation cannot be established
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Quantity I: Total balls = 5+3+3 = 11. Selecting 3 balls: 11C3 = 165 ways. For different colors: must pick 1 green (5 ways), 1 yellow (3 ways), 1 white (3 ways). Probability = (5 × 3 × 3)/165 = 45/165 = 3/11 ≈ 0.273. Quantity II: 52 cards, 8 are kings or aces (4 kings + 4 aces). Probability = 8/52 = 2/13 ≈ 0.154. Since 3/11 > 2/13, Quantity I > Quantity II.

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