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Conditional Probability in 6-Card Poker 7) Compute the probability of getting 4-of-a-kind if there is a single draw step • If you are dealt 4-of-a-kind, draw no cards • If you are dealt 3-of-a-kind, draw 3 cards • If you are dealt 2-pair or 2-of-a-kind, draw 4 cards • If you are dealt no pairs, draw 5 cards. hand = xxxx draw 0 hand xxx abc discard abc, draw 3 hand = xx abcd discard abcd, draw 4 hand = abcdef discard abcde, draw 5

Conditional Probability in 6-Card Poker 7) Compute the probability of getting 4-of-a-kind if there is a single draw step • If you are dealt 4-of-a-kind, draw no cards • If you are dealt 3-of-a-kind, draw 3 cards • If you are dealt 2-pair or 2-of-a-kind, draw 4 cards • If you are dealt no pairs, draw 5 cards. hand = xxxx draw 0 hand xxx abc discard abc, draw 3 hand = xx abcd discard abcd, draw 4 hand = abcdef discard abcde, draw 5

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Conditional Probability in 6-Card Poker 7) Compute the probability of getting 4-of-a-kind if there is a single draw step • If you are dealt 4-of-a-kind, draw no cards • If you are dealt 3-of-a-kind, draw 3 cards • If you are dealt 2-pair or 2-of-a-kind, draw 4 cards • If you are dealt no pairs, draw 5 cards. hand = xxxx draw 0 hand = xxx abc discard abc, draw 3 hand = xx abcd discard abcd, draw 4 hand=abcdef discard abcde, draw 5 8) Check your answers using a Monte Carlo simulation with 100,000 hands of 6-card draw poker
Transcribed Image Text:Conditional Probability in 6-Card Poker 7) Compute the probability of getting 4-of-a-kind if there is a single draw step • If you are dealt 4-of-a-kind, draw no cards • If you are dealt 3-of-a-kind, draw 3 cards • If you are dealt 2-pair or 2-of-a-kind, draw 4 cards • If you are dealt no pairs, draw 5 cards. hand = xxxx draw 0 hand = xxx abc discard abc, draw 3 hand = xx abcd discard abcd, draw 4 hand=abcdef discard abcde, draw 5 8) Check your answers using a Monte Carlo simulation with 100,000 hands of 6-card draw poker
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