Question

Probabilities are between 0 and 1. A probability of 0 means that an event occur or that it is for the event to occur. If it is unlikely that the event will occur, then the probability of that event is . If it is equally likely that the event will occur or that the event will not occur, then the probability is . If it is very likely that the event will occur, then the probability of that event is . If the event will definitely occur, then the probability of that event is . A sample space has probability when all of the possible outcomes of the sample space have probabilities.

closer to zero equal to one impossible real numbers one-half will not closer to one uniform equal

Answer 1

Probability measures the likelihood of an event occurring, with values between 0 (impossible) to 1 (certain). A probability closer to 0 implies unlikeliness, one-half means equal likelihood, and closer to 1 suggests high likelihood. The probabilities in a uniform sample space are equal for all outcomes.

Step-by-step explanation:

Probabilities are mathematical measures between 0 and 1. A probability of 0 means an event will not occur, or it is impossible for the event to happen. Conversely, if the probability is equal to one, it means the event will definitely happen. When it's unlikely that the event will occur, the probability is closer to zero. If there's an equal chance the event will occur or not, the probability is one-half (0.5). For events that are very likely to occur, the probability is closer to one. A sample space is considered uniform when all the possible outcomes have equal probabilities.

To calculate the probability of an event A in a uniform sample space, count the number of outcomes for event A and divide by the total number of outcomes in the sample space. This is the theoretical probability of A. For example, when tossing a fair coin, there is an equal likelihood of landing on heads or tails, which are mutually exclusive events, each with a probability of 0.5, and together they form the sample space with a total probability of 1.

Answer 2

Probabilities are real numbers between 0 and 1. A probability of 0 means that an event will not occur or that it is impossible for the event to occur. If it is unlikely that the event will occur, then the probability of that event is closer to zero. If it is equally likely that the event will occur or that the event will not occur, then the probability is one-half. If it is very likely that an event will occur, then the probability of that event is closer to one. If the event will definitely occur, then the probability of that event is equal to one. A sample space has uniform probability when all of the possible outcomes of the sample space have equal probabilities.