Question

In a single toss of a fair die, the odds against the event that number 3 or 4 turns up are

• A. 1:2
• B. 1:3
• C. 2:1
• D. 3:1

Answer 1

Answer: (C)

2:1

Answer 2

The sample space for a fair die is
$S = \{1, 2, 3, 4, 5, 6\}$.

The favorable outcomes for the event (number 3 or 4 turns up) are
$F = \{3, 4\}$ which is 2 outcomes.

The number of outcomes not favorable is
$N = 6 - 2 = 4$ which is 4 outcomes.

Odds against the event are given by the ratio of non-favorable outcomes to favorable outcomes:
Odds against $= \frac{4}{2} = 2:1$