Question

question 8
10 pts

select the correct answer below that will fill in each blank that will make a correct statement.

the odds against event a is defined as the ratio of ____ to ____.

( ) p(a) to p(not a)
( ) p(not a) to p(a)

Explanation:

Define odds against an event

The odds against an event \(A\) represent the ratio of the probability that the event does not occur to the probability that the event does occur.

Express as a ratio

$$ \text{Odds against } A = \frac{P(\text{not } A)}{P(A)} = P(\text{not } A) \text{ to } P(A) $$

Match with options

The correct option is "P(not A) to P(A)".

Answer:

• P(A) to P(not A)
• P(not A) to P(A) (Correct answer)