In a game, you have a probability of 0.25 of winning a prize. What is the likelihood that you do not win a prize?

To determine the likelihood of not winning a prize when the probability of winning is 0.25, you can use the concept of complementary probabilities. The sum of the probabilities of all possible outcomes in a given situation must equal 1.

In this case, the event of winning a prize has a probability of 0.25. Therefore, the probability of the complementary event, which is not winning a prize, can be calculated as follows:

1. Calculate the probability of not winning, which is 1 minus the probability of winning: [ 1 - 0.25 = 0.75 ]

This calculation shows that the likelihood of not winning a prize is 0.75, meaning there is a 75% chance that you will not win. This is the correct interpretation of the situation.

The other probabilities do not align with the calculations based on the given winning probability. For instance, a 0.50 probability would imply an equal chance of winning and losing, which is not the case here. A probability of 0.25 for not winning correlates directly to the winning probability, and a probability of 1.00 would suggest absolute certainty of not winning, which contradicts the