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A probability provides a quantitative description of the likely occurrence of a particular event.

7 votes
1 answer
1k views

In the coupon collector's problem with group drawings, why does the probability decrease wit...

Each $\omega \subset S$ has an equal probability of being chosen. … However, the probability doesn't monotonically increase as $k$ does. …
Timothy Jones's user avatar
5 votes
2 answers
1k views

Expectation of collecting stickers in groups

Surely the second sticker from the first packet has probability 679/679 of being required, because it can't be the same as the first sticker? … In the second packet the first sticker has probability 675/680 of being required, but the second has probability 674/679. Therefore, why isn't the sum this? …
Timothy Jones's user avatar