Gary is a computer programmer, and is designing a digital arcade app. The game will have 6 levels. A marble is dropped from the top (black circle), it travels downwards, bounces off each bumper (the circles) once and continues down to the bottom and exits at one of the letters A, B, C, D, E, F or G. The first 4 levels are completed, showing the number of paths to each bumper in that level. a) Find the pattern and fill in the figure at each bumper and determine the total at each exit (write the totals below each letter in the figure). b) What is the total of all possible exits in this game? c) Which letter has the largest probability of the marble exiting at? What is this probability? E Marble

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Gary is a computer programmer, and is designing a
digital arcade app. The game will have 6 levels. A
marble is dropped from the top (black circle), it
travels downwards, bounces off each bumper (the
circles) once and continues down to the bottom
and exits at one of the letters A, B, C, D, E, F or G.
The first 4 levels are completed, showing the
number of paths to each bumper in that level.
a) Find the pattern and fill in the figure at each
bumper and determine the total at each exit (write
the totals below each letter in the figure).
b) What is the total of all possible exits in this
game?
c) Which letter has the largest probability of the
marble exiting at? What is this probability?
Marble
Transcribed Image Text:Gary is a computer programmer, and is designing a digital arcade app. The game will have 6 levels. A marble is dropped from the top (black circle), it travels downwards, bounces off each bumper (the circles) once and continues down to the bottom and exits at one of the letters A, B, C, D, E, F or G. The first 4 levels are completed, showing the number of paths to each bumper in that level. a) Find the pattern and fill in the figure at each bumper and determine the total at each exit (write the totals below each letter in the figure). b) What is the total of all possible exits in this game? c) Which letter has the largest probability of the marble exiting at? What is this probability? Marble
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