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 less than 7. Event B is the event that a 2 occurs on either die. Event C is the event that a number less than 5 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 less than 7. Event B is the event that a 2 occurs on either die. Event C is the event that a number less than 5 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)

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...

See similar textbooks