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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) 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.)

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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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)
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)
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: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.)
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