Question

question 4 of 5 select the correct answer. ross was playing with a deck of cards. he took out all the diamond suit cards having a value greater than 2 and less than 10. he kept them upside - down on a table and picked a card at random. let event a be picking up a card with an odd number as its value. let event b be picking up a card with a value that is a multiple of three. which of the following outcomes represents the complement of b? (a) {5, 7, 9} (b) {4, 6, 8} (c) {3, 6, 9} (d) {4, 5, 7, 8}

Explanation:

Step1: Identify cards in event B

Event B is picking a card with a value that is a multiple of three among diamond - suit cards with value greater than 2 and less than 10. The diamond - suit cards in this range are 3, 4, 5, 6, 7, 8, 9. The multiples of three are 3, 6, 9.

Step2: Find the complement of B

The complement of B consists of the remaining cards in the set of diamond - suit cards with value greater than 2 and less than 10. So the values are 4, 5, 7, 8.

Answer:

{4, 5, 7, 8}