(Print) Use this randomly generated list as your call list when playing the game. There is no need to say the BINGO column name. Place some kind of mark (like an X, a checkmark, a dot, tally mark, etc) on each cell as you announce it, to keep track. You can also cut out each item, place them in a bag and pull words from the bag.
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The nᵗʰ increment Xₙ of a RW is independent from Sₙ₋₁
Write ℤ-valued RV as a sum of indicator functions
Convergence in probability
π-λ theorem
L²⊆L¹
Something legitimately relevant to Vegas
Prove it for simple RVs first
Can't use DCT because the sum may not be L¹
A is the smallest ___ containing B; and C is a ___ containing B; therefore C contains A.
Arithmetic with 0 and ∞ to derive a contradiction
Probability that a random walk will exit [a,b] at b is b/(b-a)
Pull sum of indicator functions out of (or into) an integral via Beppo Levy
Do something with a nonnegative RV that would not work for a real-valued RV
Wald's 2ⁿᵈ equation
For integers x, y: the negation of x≥y is x≤(y-1)
Identically distributed RVs have the same expectation/variance
Prove integrals are equal by integrating their difference
The lim-inf equals the lim
A result for all intervals [-∞, b] implies something about all intervals [a,b]
Use enumeration of ℚ or state separability as a necessary condition
Show integral is 0 using Fatou
Standardize a RV, then use a calculation for the standard version