Question

A bag contains 12 red checkers and 6 black checkers. You will randomly select two checkers, one at a time, without replacement.

Fill in the probabilities on each branch of the tree diagram below. Write the probabilities as fractions in simplified form.

Answer 1

Seestep by step explanation

Explanation:

First Selection:

First branch P₁ = 12/18 P₁ = 4/6 P₁ = 2/3 (To pick a red one)

Second Branch P₂ = 6/18 P₂ = 1/3 ( To pick a black one)

Second Selection

We already have a red checker the we have 11 red checkers and 6 black checkers, then

First branch P₃ = 11/17

Second Branch P₄ = 6/17

But in case that our first checker was black then we have

First branch P₅ = 12/17

Second Branch P₆ = 5/17