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, the sample space S consists of all the possible ordered pairs (x,y). Event A is the event that the sum is greater than 9. Event B is the event that a 2 occurs on either die. Event C is the event that a number greater than 4 comes up on the green die. Assume that all elements of the sample space are equally likely to occur. Complete parts (a) through (c) below. Click the icon to view the sample space. (a) Find the probability of event A. P(A) = (Type an integer or a simplified fraction.) (b) Find the probability of event C. P(C) = (Type an integer or a simplified fraction.) (c) Find the probability of event An C. P(ANC) = (Type an integer or a simplified fraction.) Sample Space (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) (4,1) (4,2) (4,3) (4,4) (4,5) (4,6) (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) (6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
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, the sample space S consists of all the possible ordered pairs (x,y). Event A is the event that the sum is greater than 9. Event B is the event that a 2 occurs on either die. Event C is the event that a number greater than 4 comes up on the green die. Assume that all elements of the sample space are equally likely to occur. Complete parts (a) through (c) below. Click the icon to view the sample space. (a) Find the probability of event A. P(A) = (Type an integer or a simplified fraction.) (b) Find the probability of event C. P(C) = (Type an integer or a simplified fraction.) (c) Find the probability of event An C. P(ANC) = (Type an integer or a simplified fraction.) Sample Space (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) (4,1) (4,2) (4,3) (4,4) (4,5) (4,6) (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) (6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
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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Transcribed Image Text: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, the sample space S consists of all the
possible ordered pairs (x,y). Event A is the event that the sum is greater than 9. Event B is the event that a 2 occurs
on either die. Event C is the event that a number greater than 4 comes up on the green die. Assume that all elements
of the sample space are equally likely to occur. Complete parts (a) through (c) below.
Click the icon to view the sample space.
(a) Find the probability of event A.
P(A) = (Type an integer or a simplified fraction.)
(b) Find the probability of event C.
P(C) = (Type an integer or a simplified fraction.)
(c) Find the probability of event An C.
P(ANC) = (Type an integer or a simplified fraction.)
Transcribed Image Text:Sample Space
(1,1)
(1,2)
(1,3)
(1,4)
(1,5)
(1,6)
(2,1)
(2,2)
(2,3)
(2,4)
(2,5)
(2,6)
(3,1)
(3,2)
(3,3)
(3,4)
(3,5)
(3,6)
(4,1) (4,2)
(4,3)
(4,4)
(4,5)
(4,6)
(5,1)
(5,2)
(5,3)
(5,4)
(5,5)
(5,6)
(6,1) (6,2)
(6,3)
(6,4)
(6,5)
(6,6)
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