1. (a) What does probability convey about an event's
occurrence? (b) What is the probability of a
random event based on?

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a) In any given experiment or trial, there is a probability that either an event occurs or it does not. The probability of the occurrence of an event lies between 0 and 1.The event E of a sample space S is said to have occurred if the outcome ω of the experiment is such that ω ∈ E. However if the outcome ω is such that, ω ∉ E we say that the event has not occurred.Let us take the example of playing cards. Here the event E is drawing a face card. If you draw a king of spades, we say the event E has occurred. However, if you draw an eight of clubs, we say the event E has not occurred.b)  The probability of an event is equal to the events relative frequency in the population of possible events that can occur. An event’s relative frequency is a number between 0 and 1, so the event’s probability is from 0 to 1.For example, when someone says that the probability it raining today is high, you understand that they mean that there is a high chance that it will rain.But what if someone says that the probability of something happening is very low? You understand that the person means that the event may not occur at all. In mathematics, we define probability in a similar sense.What is Probability?Probability is the measure of uncertainty of any event (any phenomenon happened or bound to happen). What is event?In probability, the set of outcomes from an experiment is known as an Event.What is random events?An event with a probability of occurrence determined by some probability distribution.Learn more about Probability and Random events:https://brainly.com/question/13604758#SPJ1