All Questions
Tagged with card-games conditional-expectation
7
questions
2
votes
1
answer
112
views
Expected number of cards between first Jack and first queen given first Jack appears before first Queen.
Suppose we draw cards from a standard deck one-by-one. Find the
expected number of cards after the first Jack and before the first
Queen given that the first Jack appears before the first Queen.
My ...
- 45
0
votes
1
answer
119
views
Number of cards between first jack and queen
You pull cards out of a shuffled deck until you get a jack and a queen. Given see the jack first, what is the expected number of cards between the jack and the queen?
I believe this is a conditional ...
- 794
2
votes
2
answers
91
views
What is the expected number of green cards given you know there were at least 6 yellow cards drawn?
Lets say you have a deck with 10 cards each of 8 different colors. You then deal 40 card to someone. So you would expect their hand to be 5 cards of each color. You then get the additional ...
- 123
4
votes
1
answer
98
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Martingale and card withdrawal
I have deck of 52 shuffled cards from which I draw cards one by one and an indicator $I_k$ where $ I_k \in \{0, 1\}$ that shows the k-th card is a King or not. My filtration is $\mathcal{F}_n = \sigma(...
- 89
1
vote
0
answers
115
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Optimal worst case strategy for card game - double if red, half if black
Flip cards in a shuffled deck. Win double if red, lose half if black. You can choose whether to bet or not each time. What’s the optimal worst case scenario strategy? Start by considering a situation ...
- 113
3
votes
1
answer
1k
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Expected minimum value of weird coin/card problem?
I am quite boggled by the following question:
You are given a deck of cards with integers from 1 to 100 and 2 boxes labelled H and T. Flip a fair coin 100 times, and place the $i^\text{th}$ card in ...
- 2,238
1
vote
0
answers
39
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New expected value given condition (card game)
I have 15 distinct cards, each taking on a value of 1 to 15 (i.e. Card 1 has a value of 1, Card 2 has a value of 2, etc). I understand that expected value of each card is 8. Now say there are 5 ...
- 97