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24 votes
5 answers
3k views

Game Theory / Probability Interview question

8 votes
3 answers
700 views

How do I know if basic algebra works?

5 votes
1 answer
274 views

Why doesn't P(Calvin wins the match by winning 2 more games than his opponent) = $P(C|W_1)P(W_1)+P(C|L_1)P(L_1) = (p)(p) + (1-q)(q)$?

5 votes
4 answers
370 views

Analysis Day 1: Few Questions about Cauchy sequences

5 votes
1 answer
355 views

Overthinking equality of real numbers

4 votes
1 answer
1k views

Does the probability of team A winning a series of seven games depend on whether team A plays until they win the four games needed or all seven?

4 votes
0 answers
105 views

How does basic algebra represent human intuition/understanding?

3 votes
1 answer
115 views

multiplication of functions

3 votes
2 answers
73 views

solve by intuition or counting

3 votes
2 answers
93 views

Cauchy sequence of increasing rational numbers

3 votes
4 answers
187 views

Sigma Sum Manipulation: How does the second equality hold?

3 votes
1 answer
1k views

Monty Hall: What is the "unconditional probability of success" and "conditional probability of success"?

3 votes
1 answer
456 views

Checking whether a polynomial of degree at most 2 encompasses all possible polynomials of degree at most 2?

3 votes
1 answer
317 views

Why does adding/subtracting/multiplying/dividing a number from both sides of an equality maintain the solution set?

3 votes
2 answers
700 views

Doing math with anxiety/OCD-like symptoms: how to accept a proof whose logic I follow but intuition I cannot grasp (rank-nullity theorem)

3 votes
3 answers
143 views

Confused about Chess Tournament Solution

3 votes
1 answer
86 views

Prove that $T$ satisfies the hypotheses of the contraction mapping principle.

3 votes
2 answers
105 views

Show these two metrics define the same open sets. [duplicate]

2 votes
2 answers
29 views

Prove that this function satisfies the contractive mapping principle assumptions

2 votes
0 answers
77 views

$N$ random points on a circle [duplicate]

2 votes
1 answer
89 views

What operations are allowed when I transform a system of linear equations to another form that maintains the same solutions?

2 votes
1 answer
358 views

Stuck: Show that $TS$ is self-adjoint if and only if $TS = ST$.

2 votes
2 answers
253 views

Is it possible that individually, pieces of evidence increase the chance of guilt but together they decrease the chance of guilt?

2 votes
4 answers
304 views

Solving $\frac{10x}{\sqrt{10x^2}} = \sqrt{10}$. How to deal with the square root?

2 votes
0 answers
127 views

Please help me with this: card([m])=card([n]) implies m = n

2 votes
1 answer
105 views

HINT: $a^2+b^2=c^2$ cannot hold for $a,b$ odd and $c$ even. (using congruences) [duplicate]

2 votes
1 answer
78 views

Exhibit an example of a vector space $V$ with non-equal subspaces $U_1, U_2, U_3$ such that $U_1 \oplus U_3 = U_2 \oplus U_3$.

2 votes
1 answer
123 views

How is the multiplication rule in conditional probability not circular?

2 votes
2 answers
67 views

how to find PDF of $X+Y$

2 votes
1 answer
128 views

Confused about how author got: every $r\in \mathbb R$ is the limit of a Cauchy sequence of rational numbers"