l07_prob

# l07_prob - Probability I Basic Ideas Reading Ross Ch 2 Sec...

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02/16/2009 CS206 - Intro. to Discrete Structures II 1 Probability I: Basic Ideas Reading: Ross, Ch 2., Sec. 1. Monday, February 16, 2009

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02/16/2009 CS206 - Intro. to Discrete Structures II 2 Intuitive notion of “probability” What is the probability of heads when tossing a fair coin? Two outcomes , heads and tails. Both equally likely. Hence, probability of heads is ½ . What is the probability that today is a Thursday? (Assuming you have no other information about time or something that can reveal the day of the week.) Seven outcomes , Mon – Sun. All equally likely. Hence, probability of Thursday = 1/7. Monday, February 16, 2009
02/16/2009 CS206 - Intro. to Discrete Structures II 3 Intuitive notion… (cont’d) • What is the probability of dealing a Full House (3 one face, 2 another face) in a game of poker? #poker hands = C(52,5) = 2598960 #Full House hands = C(4,3) 13 C(4,2) 12 = 3744 Probability of Full House = #Full House hands / #poker hands = 3744 / 2598960 ¼ 0.14% Monday, February 16, 2009

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02/16/2009 CS206 - Intro. to Discrete Structures II 4 Random Experiments • Tossing a coin • Guessing the day of the week • Dealing a poker hand. Random experiment is a conceptual or ideal experiment that can be repeated infinitely many times under identical conditions. Monday, February 16, 2009
02/16/2009 CS206 - Intro. to Discrete Structures II 5 Outcomes • Heads and Tails in coin tosses. • Days of the week in the guessing game.

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l07_prob - Probability I Basic Ideas Reading Ross Ch 2 Sec...

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