A marble is selected from a bag containing eight marbles numbered 1 to 8 . The number on the marble selected will be recorded as the outcome. Consider the following events. Event \( A \) : The marble selected has a number from 2 to 5 . Event \( B \) : The marble selected has an even number. Give the outcomes for each of the following events. If there is more than one element in the set, separate them with commas. (a) Event " \( A \) or \( B \) ": (b) Event " \( A \) and \( B \) ": \( \square \) (c) The complement of the event \( B \) : \( \square \)

Let's dive into the events based on the marbles numbered 1 to 8! For event \( A \), the selected marble must be numbered between 2 and 5, which gives us the outcomes: 2, 3, 4, 5. For event \( B \), the selected marble must be an even number, leading to the outcomes: 2, 4, 6, 8. Now, let's determine the outcomes for the requested events: (a) Event " \( A \) or \( B \) ": This includes any marble that is either in event \( A \) or in event \( B \). The combined outcomes are: 2, 3, 4, 5, 6, 8. (b) Event " \( A \) and \( B \) ": This includes marbles that are both in event \( A \) and \( B \). The common outcomes are: 2, 4. (c) The complement of the event \( B \): This includes all the outcomes that are not in event \( B \) (the odd numbers). Therefore, the outcomes are: 1, 3, 5, 7.