Independent & Dependent Events 🔗

When we deal with more than one event happening (Compound Events), the relationship between them matters.

1. Independent Events 🔓

Two events are Independent if the occurrence of one does NOT affect the probability of the occurrence of the other.

• Example: Tossing a coin twice.
  • Result of the first toss (Head) does not change the chance of getting Head in the second toss.
  • P(A and B) = P(A) * P(B).

2. Dependent Events 🔒

Two events are Dependent if the occurrence of one Does affect the probability of the other. This usually happens in Sampling without Replacement.

• Example: Drawing 2 cards from a deck without replacement.
  • Event A: Draw a King (4/52).
  • Event B: Draw another King.
  • Since one King is gone, the chance for B is now (3/51).
  • P(B) depends on A.

Comparison 📊

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3. Compound Events 🍹

When two or more events happen together.

• Example: Getting a Head on coin AND a 6 on die.

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