1. Suppose we have 12 cards, numbered 1 through 12. We shuffle the deck thorough

Question

1. Suppose we have 12 cards, numbered 1 through 12. We shuffle the deck thoroughly, and draw 5 cards. What is the probability that we draw 5 cards in increasing rder? (So (1,3,5,6,8) is okay but (3, 1,5,6,8) is not.) 2. Now suppose there are 13 cards, one of which is a joker and counts as a wild card. Now what is the probability of drawing 5 cards in increasing order? (The joker can go anywhere without disturbing the order. For instance, (1,3, J,4,8) is okay.) probability of being dealt the following hands, and briefly explain your work. (a) A pseudo-flush, which consists of 4 cards of the same suit, with the remaining card of a (b) A semi-flush, in which all cards are the same color (red or black 3. A poker hand is five cards dealt from a standard well-shuffiled 52-card deck. Determine the different suit. (c) An anti-flush, in which there is at least one card of every suit

Explanation / Answer

SOlving the first question. Please repost the others individually

For any 5 cards we draw, there are 5! ways to arrange the cards.

Out of these, only on combination is correct.

SO, Probability = 1/5!=1/120

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