What are the chances of this?

The chances of hits are:

For 100 items, over 100 repetitions, each with probability 0.1, on average there will be 1000 hits.

Over 100 repetitions, on average there will be 10 hits for each of the items.

Probability

  • 0.100000
  • As a percentage

  • 10.0000%
  • As a rounded-off proportion

  • 1 in 10
  • As approximate fair betting odds

  • 9 : 1
  • Representative example

    For hits

  • 100 items x 100 repetitions = 10000 chances for hits
  • Observed hits: 1007 = 10.070% (expected average: 1000 = 10.000%)
  • For items (columns)
  • Summary for items: {'min': 2, 'max': 21, 'mean': 10.07, 'median': 10}
  • Counts: How many hits for each of the items? [Click to show]
  • [12, 8, 12, 16, 9, 9, 6, 11, 10, 15, 10, 20, 5, 10, 11, 3, 8, 13, 14, 11, 15, 10, 10, 13, 7, 11, 13, 11, 9, 8, 11, 10, 13, 7, 11, 7, 10, 11, 13, 6, 10, 6, 8, 10, 5, 12, 11, 12, 8, 9, 7, 8, 7, 7, 6, 9, 7, 12, 10, 10, 6, 13, 9, 18, 7, 15, 8, 14, 12, 8, 11, 8, 10, 12, 15, 8, 9, 13, 9, 21, 7, 16, 14, 4, 6, 6, 11, 10, 12, 7, 12, 2, 7, 12, 9, 15, 9, 12, 8, 9]
  • Distribution: How many items for each different number of hits? [Click to show]
  • 1 with 2 hits; 1 with 3 hits; 1 with 4 hits; 2 with 5 hits; 7 with 6 hits; 11 with 7 hits; 11 with 8 hits; 11 with 9 hits; 13 with 10 hits; 11 with 11 hits; 11 with 12 hits; 7 with 13 hits; 3 with 14 hits; 5 with 15 hits; 2 with 16 hits; 1 with 18 hits; 1 with 20 hits; 1 with 21 hits;
    For repetitions (rows)
  • Summary for repetitions: {'min': 2, 'max': 17, 'mean': 10.07, 'median': 10}
  • Counts: How many hits for each of the repetitions? [Click to show]
  • [11, 7, 10, 10, 9, 9, 9, 16, 2, 12, 7, 13, 13, 8, 8, 14, 11, 11, 7, 8, 13, 11, 11, 12, 9, 9, 10, 13, 15, 7, 13, 15, 13, 13, 12, 16, 7, 11, 7, 12, 9, 7, 17, 5, 11, 7, 9, 11, 7, 9, 13, 8, 13, 8, 11, 8, 11, 16, 12, 10, 12, 10, 7, 9, 6, 5, 13, 10, 11, 5, 10, 9, 11, 10, 8, 10, 7, 11, 9, 8, 13, 6, 12, 8, 11, 15, 11, 13, 12, 5, 10, 6, 7, 14, 7, 13, 6, 11, 13, 7]
  • Distribution: How many repetitions for each different number of hits? [Click to show]
  • 1 with 2 hits; 4 with 5 hits; 4 with 6 hits; 14 with 7 hits; 9 with 8 hits; 11 with 9 hits; 10 with 10 hits; 16 with 11 hits; 8 with 12 hits; 14 with 13 hits; 2 with 14 hits; 3 with 15 hits; 3 with 16 hits; 1 with 17 hits;

    What are the Chances of That? - The Book

    Five reasons that we find it hard to think about uncertainty. To be published by Oxford University Press in 2021.

    Click here to learn more about it.

    http://itabn.tumblr.com/post/138631317782/this-website