Question

let s be a sample space with 16 total possible events. if a is an event consisting of 3 outcomes of s, how many outcomes are in ac? (a) 13 (b) 8 (c) 3 (d) 2 (e) 1

Answer 1

The number of outcomes in the complement of event A is 13.

Step-by-step explanation:

To find the number of outcomes in the complement of event A, which is denoted as Ac, we subtract the number of outcomes in A from the total number of possible outcomes in the sample space S. In this case, the total number of possible events in the sample space is 16. Since A consists of 3 outcomes, the number of outcomes in Ac is 16 - 3 = 13.

Therefore, the correct answer is (a) 13.

Answer 2

The complement of event A, denoted A¹, consists of 13 outcomes because it includes all the outcomes in the sample space S not in A, and since S has 16 outcomes and A has 3, we subtract to find A¹ has 16 - 3 = 13 outcomes.

Step-by-step explanation:

Finding the Number of Outcomes in the Complement of an Event

Given the sample space S consisting of 16 possible outcomes and an event A consisting of 3 outcomes of S, we want to find the number of outcomes in the complement of event A, denoted as Ac. The complement of an event consists of all the outcomes in the sample space that are not included in the event itself. Since there are 16 total outcomes and event A has 3 outcomes, the complement of A would have 16 - 3 = 13 outcomes. Therefore, Ac consists of 13 outcomes.

The correct answer to the question is: (a) 13