Combinatorics and probability quiz

Take our combinatorics and probability quiz today. Just answer the questions below, to get instant feedback on your knowledge. Not only will you see which questions you got right or wrong at a glance, you’ll get a detailed explanation of the answer for every single question. If there is anything you don’t understand, poker.betzoo.uk has a comprehensive article about combinatorics and probability. We also have a full explanation of how blockers affect combinatorics and probability. As we value your privacy, we are NOT in any way recording your answers to this quiz.

Try our combinatorics and probaility quiz

The following questions relate to Texas Holdem.

1. Blockers: If you hold QsQh in your hand, what is the probability (to 1 decimal place) your opponent holds a hand in the following range {AA, KK, QQ, JJ, TT, AKs, KQs}?

2. Blockers: If you hold AsKh in your hand, an opponent is x% less likely to be holding AA than if you had no relevant blockers. How much is x%?

3. Blockers: You are playing live poker, and a player who folds preflop accidentally exposes one of his cards to the table, which happens to be the ace of clubs. You go to the flop heads-up versus one opponent – you think he has all possible combos of AK (both suited, and unsuited) amongst his range. With no blockers in your hand, or knowledge of the exposed card, your heads-up opponent would have 16 combos of AK. You have KsTs in your hand. How many combos of AK are possible for your opponent, with all the information you have?

4. What is the probability (to 1 decimal place) you will be dealt a suited broadway hand preflop? You may use a calculator.

5. Blockers: If you hold KhKs in your hand, an opponent is x% less likely to be holding AK than if you had no relevant blockers. How much is x%?

6. What is the probability (to 1 decimal place) you will be dealt pocket aces, pocket kings, or pocket queens preflop? You may use a calculator.

7. What is the probability (to the nearest percent) both cards in your starting hand will be of the same suit? You do NOT need a calculator to answer this (infact it is possible to arrive at the answer in under a second).

8. What is the probability (to the nearest percent) you will be dealt a pocket pair preflop? You do NOT need a calculator to answer this (infact it is possible to arrive at the answer in under a second).