The number of ways to draw n items from a mother set of m items (with replacement).

(Click on the right arrow to begin.)

Drawing with replacement means that a member of the mother set can be drawn more than once. The idea is, once a member of the set is drawn, you put it back, so it can be drawn again.

For example, the mother set might be the sides of a coin, [H T]. If you draw n times (flip the coin n times), you can get multiple heads (H) and multiple tails (T).

(Click the right arrow to continue.)

Take for example, the 6 faces of a die, [1 2 3 4 5 6]. If we roll the die twice, so that n = 2, then there are 6² = 36 possible outcomes.

(Click right arrow to continue.)

1. Probability - Drawing With Replacement

By smilinjoe

1. Probability - Drawing With Replacement

The basics on how to count the number of ways to draw n items from a mother set of N items.

  • 647