How to Think About Limit Holdem: Answers to Exercises by sweetjazz3

How to Think About Limit Holdem: Answers to Exercises

by sweetjazz3

Answers to Exercises Exercise 1

(a) The suits of the cards are irrelevant, so the calculation is the same and the answer is 0.274 bets. (b) Whether our opponent has AQ or AK does not affect the calculation since we still have the same number of outs to win, so the EV is again 0.274 bets. © If we miss our straight, we still lose 1 bet, but now if we make a straight, we lose 3 bets. The EV of a turn call is (-3 bets) x (0.182) + (-1 bets) x (0.818) = -1.364 bets.

Exercise 2

(a) The calculation is very similar to Example 3. However, AK, AQ and AJs make up a total of 27 (= 12 + 12 + 3) combinations while AA and 99 make up a total of 4 (= 3 + 1) combinations. Thus the EV of a turn call is [(27) x (0.274) + (4) x (-1.364)] / 31 = 0.063 bets. (b) The calculation is complicated a bit by the fact that we have to break up the cases of when we make a straight based on whether it is the T or the 5 that completes our hand. If we river a T, there are 33 hand combinations that we beat and 6 that we lose to. If we river a 5, there are 39 hand combinations that we beat and 3 that we lose to. The probability of rivering a T is the same as rivering a 5 and it is 0.091 (half of 0.182). We’ll set up our EV equation a little differently this time; you should spend a little thought as to why this method is equivalent to the previous one. Thus the EV is calculated as follows: (probability of not rivering a straight) * (EV of not rivering a straight) + (probability of rivering a T) * (EV of rivering a T) + (probability of rivering a 5) * (EV of rivering a 5) = 0.818 * (-1 bet) + 0.091 * ([33 * (6 bets) + 6 * (-1 bets)]/39) + 0.091 * ([39 * (6 bets) + 3 * (-1 bets)]/42) = 0.131 bets

How to Think About Limit Holdem: Answers to Exercises

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