graph TD
    A[Read the probability problem] --> B{Repeated independent trials?}
    B -->|Yes| C[Use Binomial Distribution]
    B -->|No| D{Given that event occurred?}
    D -->|Yes| E{Need reverse direction?}
    E -->|Yes| F[Use Bayes Theorem]
    E -->|No| G[Use Conditional Probability P of A given B]
    D -->|No| H{At least one type?}
    H -->|Yes| I[Use Complement: 1 minus P of none]
    H -->|No| J{Equally likely outcomes?}
    J -->|Yes| K[Classical: favorable over total using counting]
    J -->|No| L[Use addition or multiplication rules]
    C --> M[P of X equals r = C n r $p^r$ $q^{n-r}$]
    F --> N[P of B given A = P of A given B times P of B over P of A]

This decision tree covers 90% of JEE probability problems. The first question to ask is always: "Is this a repeated trials problem or a single experiment?"