Question 7
A receptor R receives information about a pathogen and transmits the information to gene G via the following edges.
• R to Y1 with edge probability 0.02.
• Y1 to Y2 with edge probability 0.03.
• Y2 to Y3 with edge probability 0.06.
• Y3 to G with edge probability 0.01.
Based on the above data, answer the given subquestions.
In a random coloring of the nodes of the underlying GRN network using 6 colors, what is the probability that this path is colorful? (Random coloring refers to coloring each node in the graph with one of the 6 colors uniformly and independently at random.)
Round up the answer to 2 decimal points.