Question

suppose the probability of an event is $\frac{43}{49}$. what are the odds for the event happening? to what are the odds against the event happening? to

Explanation:

Step1: Recall the formula for odds in - favor

The probability of an event $P(E)=\frac{43}{49}$. The number of favorable outcomes is 43 and the total number of outcomes is 49. So the number of non - favorable outcomes is $49 - 43=6$. The odds in favor of an event is the ratio of the number of favorable outcomes to the number of non - favorable outcomes.
Odds in favor=$\frac{43}{6}$

Step2: Recall the formula for odds against

The odds against an event is the ratio of the number of non - favorable outcomes to the number of favorable outcomes.
Odds against=$\frac{6}{43}$

Answer:

Odds for the event happening: 43 to 6
Odds against the event happening: 6 to 43