Given that P(A) =2/9, what are the odds in favor of A occurring?
IS IT:
2/9 / (1-2/9)= 2/7
If P(A) means probability of A occurring, then it is just 2/9.
To calculate the odds in favor of an event, you need to find the ratio of the probability of that event occurring to the probability of that event not occurring.
In this case, you are given that P(A) = 2/9, which represents the probability of event A occurring. To find the probability of event A not occurring, you can subtract P(A) from 1, since the sum of the probabilities of an event and its complement is always 1. So, the probability of A not occurring, P(not A), is given by:
P(not A) = 1 - P(A)
= 1 - 2/9
= 7/9
Now, to find the odds in favor of event A occurring, you need to calculate the ratio of P(A) to P(not A). So, the odds in favor of A occurring can be written as:
Odds in favor of A = P(A) / P(not A)
= (2/9) / (7/9)
= 2/7
Therefore, the odds in favor of event A occurring are 2/7.