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

Answer:

Seestep by step explanation

Step-by-step 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