1) Consider your 5 cards at the flop in a game of hold\'um that consist of your

Question

1) Consider your 5 cards at the flop in a game of hold'um that consist of your two hole cards and the three flop cards. Given that your hole cards are the Ace and King of spades, what is the probability that you have a flush? 2) You draw one card randomly from a deck. Let A be the event that this card is an Ace and B be the event that this card is a spade. a) What is the probability of event A happening? b) What is the probability of event B happening? c) In words, what does the event A n B mean? d) Find P(AnB) e) Given that your card is a spade, what is the probability of the card being an Ace? f) Are A and B independent?

Explanation / Answer

Solving first question,

Number of cards which can make a flush for us = 11 ( excluding ace and king of spades)
Probability = 11C3 /50C3 = 11*10*9/[50*49*48]=0.00841

Please repost the second individually.

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