Question

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 le
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 tha
of three.
following outcomes represents the complement of B?

Answer 1

Based on the given events:

Event A: Picking up a card with an odd number as its value.

Event B: Picking up a card with a value that is a multiple of three.

The complement of an event refers to all outcomes other than those in the given event. So the complement of event

would be picking up a card with a value that is NOT a multiple of three.

Of the given options, "picking up a card with an even number as its value" describes the complement of event B.

So the answer is:

A. Picking up a card with an even number as its value

Answer 2

The complement of event B includes all diamond cards with values greater than 2 that are not three.

The complement of event B, denoted as Bc, would be the set of all outcomes that do not satisfy the condition of event B.

In this case, event B is picking a card with a value of three.

Since there are no cards with a value of three among the diamonds greater than 2, the complement of B would be all the diamond cards with a value greater than 2 that are not three.

The complement of B is therefore the set of diamond cards with values greater than 2 that are either 4, 5, 6, 7, 8, 9, 10, J, Q, or K.