Question

If P(E)=0.53, find the odds in favor of E What are the odds in favor of E? Select the correct choice below and fill in the answer box(es)

to complete your answer?​

Answer 1

To find the odds in favor of event E with a probability of 0.53, calculate the probability of not E (0.47) and then form the ratio which is 0.53 to 0.47.

Step-by-step explanation:

When given that P(E)=0.53, the probability in favor of event E occurring, the odds in favor can be calculated. The odds in favor of an event is the ratio of the probability that the event will occur to the probability that the event will not occur. To find the odds in favor of E, you take P(E) and calculate the probability of E not occurring, P(not E), which is 1 - P(E).

To find the odds in favor of E:

1. Calculate the probability of E not occurring: P(not E) = 1 - P(E) = 1 - 0.53 = 0.47.
2. Form the ratio of P(E) to P(not E): Odds in favor of E = P(E) / P(not E) = 0.53 / 0.47.

The odds in favor of E would therefore be 0.53 to 0.47, which can be simplified if needed. However, for many probability questions, leaving the odds in their fractional form is perfectly acceptable.