Question

Suppose that a 3 of spades is drawn from a deck of cards. Let A = the event that the next card drawn is a heart and B = the event that the next card drawn is an ace. Is the following statement true or false? Events A and B are independent.

Answer 1

The question is of which class because I am in class 6

Answer 2

Answer:

The event A and B are independent is false.

Step-by-step explanation:

We are given that,

3 of spades is drawn from a deck.

The events for the next card drawn are given by,

A = The event that the next card drawn is a heart

B = The event that the next card drawn is an ace.

Now, we have,

A and B = The event that the next card drawn is either a heart or an ace or both.

Since, The next card drawn can be an ace of heart

Thus, the event A and B cannot be independent.

Hence, the event A and B are independent is false.