PRACTICE: GIVEN EACH PAIR OF EVENTS BELOW,INDICATE WHETHER IF THEY ARE INDEPENDENT OR NOT:
a) Flipping a coin and rolling a die
b) Drawing a card from a deck, keep it, and then draw thenext card. Will the first draw affect the second draw?
c) Flipping a coin 6 times. The first 5 times were heads.Will this affect the outcome of the 6th flip?
d) A basketball player shooting a free throw. Is each freethrow independent?
Each flip is independent!
Not independent because keeping the 1st card will affect theoutcome of the second draw
Independent b/c the outcomes of the first 5 flips do not affectthe next one
This one is arguably not independent b/c if the player missesthe first shot, he will naturally adjust to improve his next shot