STAT 2507A – Week 3 - June 3

STAT 2507A – Week 3 - June 3 -...

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1 STAT 2507A – Week 3 –  June 3  Jerry Situ 4.7-4.8 Summery 2009
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Exercise from last week (1) 1) On the initial deal of Blackjack, what is the probability of the dealer being dealt 21 given that the face up card is an ace (one card is faced up-  the second card)? NOTE: there are 16 cards in a deck worth 10  points in Blackjack, and there are 52 cards in a deck. 2) On the initial deal of Blackjack, what is the probability of you being dealt  21 given that you know there is one ace (both cards are face up)?  NOTE: there are 16 cards in a deck worth 10 points in Blackjack, and there are 52 cards in a deck. 3) On the initial deal of Blackjack, what is the probability of the dealer  getting 21?  2
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Exercise from last week (1) 1) When you flip a coin, the result is a Head or a Tail,  never both. The event of a Head and the Event of a  tails is NOT an example of: a) Independent events b) Mutually exclusive events c) Complementary events 3
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Exercise answer 1) Let A be {get 21}, Let B be Ace on second card: P(A|B) = P(AB)/P(B) P(AB) = 16C1 x 4C1 / 52P2  P(B) = 51C1 x 4C1 / 52P2 P(A|B) = 16C1 x 4C1 x 2 / (51C1 x 4C1) = 16/51 2) Let A be {get 21}, Let B be one Ace: P(A|B) = P(AB)/P(B) P(AB) = 16C1 x 4C1 x2 / 52P2 (OR 16C1 x 4C1 / 52C2) P(B) = 48C1 x 4C1 x 2  / 52P2 (OR 48C1 x 4C1 / 52C2) P(A|B) = 16/48 3) Let A be {get 21}: P(A) = 16C1 x 4C1 x2 / 52P2 (OR 16C1 x 4C1 / 52C2) =128/2652
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Law of total probability What is the probability that a selected student is past year  2, regardless of program? 5 Program   Beng t BSC Total Proportion of students 30% 40% 20% 10% 100% Proportion past Year 2 in  each program 20% 30% 50% 70%   P(student is past year 2) = # students past year 2 /  total # of students
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STAT 2507A – Week 3 - June 3 -...

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