Suppose you have four (4) boxes each of which contains six (6) balls: a red ball, a blue ball, a green ball, a purple ball, a yellow ball and a pink ball. If you draw a ball at random from each box what is the probability that:  there are no balls of the same colour  either the first ball or last ball or both are green the colour of the first ball is the same as the fourth ball AND the colour of the second ball is the same as the third ball e.g. red, green, green, red. For each of these questions explain your answer i.e., show your reasoning.

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...
icon
Related questions
Topic Video
Question

Suppose you have four (4) boxes each of which contains six (6) balls: a red ball, a blue ball, a green ball, a purple ball, a yellow ball and a pink ball.

If you draw a ball at random from each box what is the probability that:

  1.  there are no balls of the same colour

  2.  either the first ball or last ball or both are green

  3. the colour of the first ball is the same as the fourth ball AND the colour of

    the second ball is the same as the third ball e.g. red, green, green, red.

    For each of these questions explain your answer i.e., show your reasoning.
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON