python/python-interview-notebook-empty.ipynb

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    "### 1.1\n",
    "What is the value of $\\sqrt{2}^{\\sqrt{2}^{{\\sqrt{2}^{...}}}}$?"
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    "### 3.1\n",
    "You have a bag with two coins. One will come up heads 40% of the time, and the other will come up heads 60%. You pick a coin randomly, flip it and get a head. What is the probability it will be heads on the next flip?"
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    "### 3.1\n",
    "In front of you is a jar of 1000 coins. One of the coins has two heads, and the rest are fair coins. You choose a coin at random, and flip it ten times, getting all heads. What is the probability it is one of the fair coins?"
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    "### 3.5\n",
    "Starting at one vertex of a cube, and moving randomly from vertex to adjacent vertices, what is the expected number of moves until you reach the  vertex opposite from your starting point?"
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    "### 3.8\n",
    "You have a spinner that generates random numbers that are uniform between 0 and 1. You sum the spins until the sum is greater than one. What is the expected number of spins?"
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    "### 4.4\n",
    "You have a basket of $n$ assets. The asset returns are multivariate normal with zero mean. Correlation between any pair of assets is 1/2. What is the probability that $k$ of the assets will have positive return?"
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    "### 3.10\n",
    "A stick is broken randomly into 3 pieces. What is the probability of the pieces being able to form a triangle?"
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    "### 3.11\n",
    "A stick is broken randomly into two pieces. The larger piece is then broken randomly into two pieces. What is the probability of the pieces being able to form a triangle?"
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    "### 5.10\n",
    "Suppose there are 36 students in the QFRM program, each assigned a unique integer from 1 to 36. Thirty-six quarters are laid out on a table in a row, heads up. Each student goes to the table, and if they are assigned the number $n$, they turn over the $n$th coin, the $2n$th coin, and so on. So, for example, the student who is assigned 15 will turn over the 15th and 30th coins. When everyone is done, how many tails are showing?"
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