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Quant · Modern Maths

Probability

5 sub-topics · 34 lessons · 65 questions · 17 PYQs

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Classical Probability11 lessons · 29 questions · 7 PYQs

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Conditional Probability and Bayes7 lessons · 13 questions · 5 PYQs

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Sequential Events and Games6 lessons · 11 questions · 3 PYQs

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Probability with Numbers6 lessons · 6 questions · 1 PYQs

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Probability of Arrangements4 lessons · 6 questions · 1 PYQs

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Formula sheet

Least number of trials for a threshold
$1-(1-p)^{n}>t$
Complement rule
$P(\bar{E})=1-P(E)$
Classical probability
$P(E)=\dfrac{n(E)}{n(S)}$
Addition rule
$P(A\cup B)=P(A)+P(B)-P(A\cap B)$
Total probability
$P(B)=\sum_i P(A_i)\,P(B\mid A_i)$
Conditional probability
$P(B\mid A)=\dfrac{P(A\cap B)}{P(A)}$
Singular two-by-two matrix
$\begin{vmatrix}a&b\\c&d\end{vmatrix}=0\iff ad=bc$
Number of divisors
$N=\prod p_{i}^{e_{i}}\ \Rightarrow\ d(N)=\prod(e_{i}+1)$