Arrange the following events in increasing order of probability:

Question

Arrange the following events in increasing order of probability:

a. Picking a diamond from a well-shuffled deck of 52 playing cards.

b. Drawing a King from a standard deck of 52 cards.

c. Rolling a number between 1 and 6 on a fair six-sided die.

d. Getting heads on a fair coin toss.

1. A. a, b, d, c
2. B. c, a, d, b
3. C. b, a, d, c (Correct answer)
4. D. d, a, c, b

Correct Answer

Option C — b, a, d, c

Detailed Solution & Explanation

The correct answer is b, a, d, c.

Key Points

• Probabilities: b=King=4/52≈0.077, a=Diamond=13/52=0.25, d=Heads=0.5, c=rolling 1-6=1 (certain).
• Increasing order: b < a < d < c.

Additional Information

• Probability is favourable outcomes ÷ total outcomes, and always lies between 0 (impossible) and 1 (certain).
• Deck facts: 52 cards, 4 suits of 13, 26 red and 26 black, 12 face cards, and 4 of each rank — so a king is 4/52 and a diamond 13/52.
• Rolling a number from 1 to 6 on a standard die is a certain event, probability 1, which anchors the top of the ordering.
• Comparing as fractions with a common denominator, or as decimals, is safer than reasoning about which feels more likely.