Outside a home, there is a 6-key keypad numbered 1 through 6. The correct five-digit code will open the garage door. The numbers can be repeated in the (a) How many codes are possible? (b) What is the probability of entering the correct code on the first try, assuming that the owner doesn't remember the code? (a) The number of possible codes is (Type an integer or fraction. Simplify your answer.) (b) The probability that the correct code is given on the first try, assuming that the owner doesn't remember it is (Type an integer or fraction. Simplify your answer.)

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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Outside a home, there is a 6-key keypad numbered 1 through 6. The correct five-digit code will open the garage door. The numbers can be repeated in the code.
(a) How many codes are possible?
(b) What is the probability of entering the correct code on the first try, assuming that the owner doesn't remember the code?
(a) The number of possible codes is
(Type an integer or fraction. Simplify your answer.)
(b) The probability that the correct code is given on the first try, assuming that the owner doesn't remember it is
(Type an integer or fraction. Simplify your answer.)
Statcrunch
Transcribed Image Text:Outside a home, there is a 6-key keypad numbered 1 through 6. The correct five-digit code will open the garage door. The numbers can be repeated in the code. (a) How many codes are possible? (b) What is the probability of entering the correct code on the first try, assuming that the owner doesn't remember the code? (a) The number of possible codes is (Type an integer or fraction. Simplify your answer.) (b) The probability that the correct code is given on the first try, assuming that the owner doesn't remember it is (Type an integer or fraction. Simplify your answer.) Statcrunch
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