And / or probability

The question

P(red or round) from red 4 round, 2 square · blue 3 round, 3 square

4 + 2 + 3 + 3=12
4 + 2 + 3 + 3=12
4 + 2 + 3=9
=
  1. Count everything first: 4 + 2 + 3 + 3 = 12 counters altogether. That is the bottom of the fraction.
  2. "Or" means a counter counts if either is true, so it is more than one group: 4 + 2 + 3 = 9. The groups do not overlap.
  3. 9 out of 12 is in bigger pieces.

How it works.

  1. 01

    Count everything first: 4 + 2 + 3 + 3 = 12 counters altogether. That is the bottom of the fraction.

  2. 02

    "Or" means a counter counts if either is true, so it is more than one group: 4 + 2 + 3 = 9. The groups do not overlap.

  3. 03

    9 out of 12 is 3/4 in bigger pieces.