Question

1) A die roll twice .Find probability
P( two even number )
2) Three cards are drawn from a standard deck of cards .Find each probability
P(3 hearts) if replacement occurs
P(3 hearts) i no replacement occurs

Answer 1

1) 6 sided dice are 50% even numbers, so your probability is .5*.5=.25

2) 52 cards in a standard deck of cards, 13 are hearts

with replacement, you get
13/52*13/52*13/52=1/4*1/4*1/4=1/64

without replacement you get
13/52*12/51*11/50=11/850

Answer 2

looks good to me!