An experiment involves tossing a pair of dice, one green and one red, and recording the numbers that come up. If x equals the outcome on the green die and y the outcome on the red die, describe the sample space S • by listing the elements (x, y); • by using the rule method. list the elements corresponding to the event A that the sum is greater than 8; list the elements corresponding to the event B that a 2 occurs on either die; list the elements corresponding to the event C that a number greater than 4 comes up on the green die; list the elements corresponding to the event AnC; list the elements corresponding to the event AnB; • list the elements corresponding to the event BnC;

An experiment involves tossing a pair of dice, one green and one red, and recording the numbers that come up. If x equals the outcome on the green die and y the outcome on the red die, describe the sample space S • by listing the elements (x, y); • by using the rule method. list the elements corresponding to the event A that the sum is greater than 8; list the elements corresponding to the event B that a 2 occurs on either die; list the elements corresponding to the event C that a number greater than 4 comes up on the green die; list the elements corresponding to the event AnC; list the elements corresponding to the event AnB; • list the elements corresponding to the event BnC;

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

I want the solution in order and steps

An experiment involves tossing a pair of dice, one
green and one red, and recording the numbers that
come up. If x equals the outcome on the green die
and y the outcome on the red die, describe the sample
space S
by listing the elements (x, y);
by using the rule method.
list the elements corresponding to the event A that
the sum is greater than 8;
•list the elements corresponding to the event B that
a 2 occurs on either die;
• list the elements corresponding to the event C that
a number greater than 4 comes up on the green die;
list
elements corresponding to the event ANC;
list the elements corresponding to the event AnB;
list the elements corresponding to the event BnC;

• If an experiment consists of throwing a die and
then drawing a letter at random from the English
alphabet, how many points are there in the sample
space?
• In how many different ways can a true-false test
consisting of 9 questions be answered?
• If a multiple-choice test consists of 5 questions,
each with 4 possible answers of which only 1 is correct,
(a) in how many different ways can a student check off
one answer to each question?
(b) in how many ways can a student check off one
answer to each question and get all the answers
wrong?

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