Conditional probability, step by step

"Given that it is round" is not extra information, it is a smaller bag.

The question

P(blue, given it is square) from red 5 round, 3 square · blue 2 round, 2 square

3 + 2=5
3 + 2=5
2
2/5
  1. "Given it is square" throws the rest of the bag away. Only the square counters can happen now, so count THOSE: 3 + 2 = 5. That is the new bottom.
  2. Of those 5, 2 are what the question asks for.
  3. 2 out of 5, and 2/5 is already in simplest form.

How it works.

  1. 01

    "Given it is square" throws the rest of the bag away. Only the square counters can happen now, so count THOSE: 3 + 2 = 5. That is the new bottom.

  2. 02

    Of those 5, 2 are what the question asks for.

  3. 03

    2 out of 5, and 2/5 is already in simplest form.