Solve d and e only. 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 000000to 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?a.b.с.What is the probability the number has two each of the digits 1, 5, and 9?d.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.е.

There are total 10 digits. We have to make 6 digit code. For each 6 places we can fill the place in…

Answered: d. What is the probability the number…

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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Let E and F be events in a sample space S. (a) The probability of E and F occurring is P(EF)= ______________. (b) If the occurrence of E does not affect the probability of the occurrence F then the event are called ______________. So in tossing a coin twice, the event E ‘getting heads on the first toss,’ and the event F, “getting heads on the second toss,” are _____________ . (c) If E and F are independent events, then the probability of E and F is P(EF)= _____________.
Let E and F be events in a sample space S. aThe probability of E and F occurring is P(EF)=______________. bIf the occurrence of E does not affect the probability of the occurrence F, then the events are called ____________. So in tossing a coin twice, the event E, getting heads on the first toss, and the event F, getting heads on the second toss, are ____________. cIf E and F are independent events, then the probability of E and F is P(EF)=________.
Let E and F be events in a sample space S. aThe probability of E or F occurring is P(EF)= _________. bIf the events E and F have no outcome in common that is, the intersection of E and F is empty, then the events are called ___________ ____________. So in drawing a card from a deck, the event E, getting a heart, and the event F, getting a spade, are ____________ ___________. cIf E and F are mutually exclusive, then the probability of E or F is P(EF)= _________.

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d. 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.