query: A bag contains 19 blue balls and 11 red balls. 8 balls are drawn from the bag one by one without replacement.
positive_passages.docid: 23221
positive_passages.text: If you draw two cards, what is the probability that the second card is a queen?
negative_passages.docid: 72052
negative_passages.text: Combinatorics the number of options for $k$ different balls in n different cells, with at least $1$ ball in each cell
negative_passages.docid: 53827
negative_passages.text: 2 balls falling hit the ground at the same time
negative_passages.docid: 115536
negative_passages.text: Two balls falling one above the other
negative_passages.docid: 127295
negative_passages.text: How many 90 ball bingo cards are there?
negative_passages.docid: 148776
negative_passages.text: A different approach in distributing $8$ distinct balls into $6$ distinct boxes
negative_passages.docid: 28645
negative_passages.text: Alice and Bob play the determinant game
negative_passages.docid: 84972
negative_passages.text: Expected number of rolls to get all sixes
negative_passages.docid: 64297
negative_passages.text: Probability that $m$ balls will fall into first box
negative_passages.docid: 67288
negative_passages.text: Why are approaching discharging initially charged pith balls almost at equilibrium?
negative_passages.docid: 32125
negative_passages.text: Probability of selecting q red balls from m red balls and n blue balls
negative_passages.docid: 140858
negative_passages.text: Number of ways to choose 6 objects when they are of 11 different kinds
negative_passages.docid: 108240
negative_passages.text: Probability: marbles in bag question
negative_passages.docid: 118744
negative_passages.text: Show that there are exactly 16 pairs of integers $(x,y)$ such that $11x+8y+17=xy$.
negative_passages.docid: 87833
negative_passages.text: Volumes of n-balls: what is so special about n=5?
negative_passages.docid: 41525
negative_passages.text: Seven-sided dice from five-sided dice with finite rolls
negative_passages.docid: 4041
negative_passages.text: Claims and questions regarding $n$-ball distribution?