Question

the probability of the seattle mariners winning the world series is \\(\frac{1}{33}\\).
what are the odds of the mariners winning the world series?
\\(\square : \square\\)
what is the probability of the mariners not winning?
\\(\square\\)
what are the odds of the mariners not winning?
32 \\(\checkmark\\) \\(\circ^4\\) : 1 \\(\checkmark\\) \\(\circ^4\\)
note: do not reduce the odds.

Explanation:

Step1: Calculate probability of not winning

$P(\text{not win}) = 1 - P(\text{win}) = 1 - \frac{1}{33} = \frac{32}{33}$

Step2: Find odds of winning

Odds(win) = $P(\text{win}) : P(\text{not win}) = \frac{1}{33} : \frac{32}{33} = 1:32$

Step3: Confirm odds of not winning

Odds(not win) = $P(\text{not win}) : P(\text{win}) = 32:1$ (given as checked)

Answer:

1:32
$\frac{32}{33}$
32:1