Recall, the digits 2, 3, 5, and 7 are prime. Let S be the set of all 6-digit codes from 000000 to 999999. What is the probability the number has at least 4 prime digits? What is the probability the number has at least 2 prime digits? What is the probability the number has two each of the digits 1, 5, and 9? a. b. C.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 6E: Suppose the probability of erroneously transmitting a single digit is P=0.03. Compute the...
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Solve a-e as it is one question 6. Solve it correctly please.

6.
Recall, the digits 2, 3, 5, and 7 are prime. Let S be the set of all 6-digit codes from 000000
to 999999.
What is the probability the number has at least 4 prime digits?
What is the probability the number has at least 2 prime digits?
What is the probability the number has two each of the digits 1, 5, and 9?
d.
a.
b.
C.
What is the probability the number has two each 3 different digits?
What is the probability the number has at least one digit occurring more than once.
e.
Transcribed Image Text:6. Recall, the digits 2, 3, 5, and 7 are prime. Let S be the set of all 6-digit codes from 000000 to 999999. What is the probability the number has at least 4 prime digits? What is the probability the number has at least 2 prime digits? What is the probability the number has two each of the digits 1, 5, and 9? d. a. b. C. What is the probability the number has two each 3 different digits? What is the probability the number has at least one digit occurring more than once. e.
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