6. Ten people are playing Black Jack (2 cards down for each). The dealer is using two decks. You will be the first to receive the first face up card. Your two down cards are a 2 and a 7. What is the probability that your face up card will be a face card (Jack, Queen, or King)? Suppose it is not one of these, what is the probability that the next person’s face up card will be a face card?

a) You: 0.2353

b) Next person: 0.2376

Step-by-step explanation:

A regular deck is made up of 52 cards being that 12 are face cards. If the dealer is using two decks, there are 104 cards out of which 24 are face cards.

If there are two cards already out of the deck (a 2 and a 7), there are 24 face cards left in a 102-card deck.

a) The probability that your face up card will be a face card is:

b) If you did not get a face card, there are still 24 face cards left on the deck which now has 101 cards. The probability that the next person’s face up card will be a face card is:

*Unknown face down cards count as if they are still on the deck

d

step-by-step explanation: