question 8\n2 pts\ngiven that the probability of an event is 40/65, what are the odds against that…

question 8\n2 pts\ngiven that the probability of an event is 40/65, what are the odds against that event?\na) 25:40 b) 40:25 c) unknown d) 25:45\n

question 8\n2 pts\ngiven that the probability of an event is 40/65, what are the odds against that event?\na) 25:40 b) 40:25 c) unknown d) 25:45\n

Answer

Explanation:

Step1: Find probability of non - event

The probability of an event $P(E)=\frac{40}{65}$. The probability of the non - event (the event not occurring) $P(\overline{E}) = 1 - P(E)$. So $P(\overline{E})=1-\frac{40}{65}=\frac{65 - 40}{65}=\frac{25}{65}$.

Step2: Calculate odds against

The odds against an event is the ratio of the probability of the non - event to the probability of the event. So odds against $=\frac{P(\overline{E})}{P(E)}=\frac{\frac{25}{65}}{\frac{40}{65}}=\frac{25}{40}=25:40$.

Answer:

A. 25:40