Dependent events

Events where the first outcome changes the probabilities for the second.

Sampling with replacement

Repeated picks where each object goes back, so every stage stays independent.

Sampling without replacement

Successive picks where numerator and denominator shrink for the second pick.

Practice

Dependent events

Events where the first outcome changes the probabilities for the second.

Practice

Sampling with replacement

Repeated picks where each object goes back, so every stage stays independent.

Practice

With and without replacement review

Successive picks, with the second fraction recalculated when nothing goes back.

Mixed review