1) For the draw of single card from a well shuffled deck, show that the events H, J, that is the card is a heart or jack respectively, are independent.
2) A dish contain 1 penney, 1 nickle and 1 dime. A batch of two coins is drawn out, and you're told that their total valur is 7 cents or more. what is the probability that the two coins are the nickle and the dime?
3) Suppose we lay out the cards from a well shuffled 52 card deck, what is the probability that the 10th card is the first ace to be dealt?
4) Suppose we lay out the cards from a will shuffled 52 cards deck, show that the following are dependent. A: the first card is the ace of clubs. B: the first card is the ace of the hearts.