1. During an experiment, a card is selected at random from a standard deck of 52 cards. Event A is getting a red card. Which of the following events are independent of event A? (Each part is worth 3 points)

a) The card selected is replaced, the cards are shuffled and a second selection is made. Event B is getting a red card on this second selection.

b) The card selected is NOT replaced, the cards are shuffled and a second selection is made. Event C is getting a red card on this second selection.

c) Event D is getting a heart on the first selection.

Question

1.	During an experiment, a card is selected at random from a standard deck of 52 cards.  Event A is getting a red card.  Which of the following events are independent of event A?  			(Each part is worth 3 points)

a)	The card selected is replaced, the cards are shuffled and a second selection is made.  Event B is getting a red card on this second selection.

b)	The card selected is NOT replaced, the cards are shuffled and a second selection is made.  Event C is getting a red card on this second selection.  

c)	Event D is getting a heart on the first selection.

welshfella · Answer

a) This is independent of event A -  getting a red card initially and replacing it can have no effect on the probability of getting another red card