a)P(ace of spades is one of sixteen cards) =16/52 =0.308
b) P(none of the 16 are ace of spades) =1-P(it is in rest of 36 cards) =1-36/51 =0.294
c) P(Ace of spade in one of 16 cards|not found in 10 draws) =((16/52)*(15/16)10)/((16/52)*(15/16)10+(36/52)*110)
=0.189
Sixteen cards are dealt froma deck of 52 cards. (a) What is the probability that the...
Seven cards are dealt from a deck of 52 cards. (a) What is the probability that the ace of spades is one of the 7 cards? (b) Suppose one of the 7 cards is chosen at random and found not to be the ace of spades. What is the probability that none of the 7 cards is the ace of spades? (c) Suppose the experiment in part (b) is repeated a total of 10 times (replacing the card looked at...
Sixteen cards are dealt from a deck of 52 cards. (a) What is the probability that the ace of spades is one of the 16 cards? (b) Suppose one of the 16 cards is chosen at random and found not to be the ace of spades. What is the probability that none of the 16 cards is the ace of spades? (c) Suppose the experiment in part(b) is repeated a total of 10 times (replacing the card looked at each...
5. Suppose a deck of 52 cards is shuffled and the top two cards are dealt. a) How many ordered pairs of cards could possibly result as outcomes? Assuming each of these pairs has the same chance, calculate: b) the chance that the first card is an ace; c) the chance that the second card is an ace (explain your answer by a symmetry argument as well as by counting); d) the chance that both cards are aces; e) the...
A hand of 5 cards is dealt from a deck of 52 playing cards. What is the probability that the hand contains: a) two spades and two hearts b) two aces and a spade c) at least two spades
Four men in turn each draw a card from a deck of 52 cards at random without replacing the card drawn. What is the probability that the first man draws an ace, the second a king, the third the ace of spades, the fourth a queen?
The following question involves a standard deck of 52 playing cards. In such a deck of cards there are four suits of 13 cards each. The four suits are: hearts, diamonds, clubs, and spades. The 26 cards included in hearts and diamonds are red. The 26 cards included in clubs and spades are black. The 13 cards in each suit are: 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, and Ace. This means there are four...
R. Given a standard deck of 52 cards with 5 cards being dealt to a player. (a) Find the probability that the player's hand will have all 5 cards as spades. (4 marks) (b) Now find the probability that the player's hand is a flush. Note that a flush is a 5 card poker hand with all 5 cards being the same suit. (4 marks)
A six-card poker hand is dealt from a standard deck of 52 cards. Find the probability that has three cards of one suit, two cards of a second suit and one card of a third suit.
A 10-card hand is dealt from an ordinary deck of 52 cards. Find the probability that there are exactly 4 cards of one suit and 3 in two other suits.
Two cards are dealt from a standard deck of playing cards (52 cards, no jokers). The cards are not replaced after they are dealt. c) The probability that the first and second cards are both kings? P(K and K) = d) The probability that the first card is a club P(♣) = e) If the first card is a club, the probability that the second card will be a spade P(♠|♣) =