Answer question 9a and explain what you did. 1 heber/5. In another state, license plates are formed using 6 symbols, any of which can be a number or aletter.a) How many license plates are there?b) What is the probability that a license plate has the following?I. All letters.II. At least one letter.III. At least 5 numbers.Ain withIV. An even number first, a multiple of 3 second, a consonant third, a vowel fourth, and woohanything at all fifth and sixth.6. Given a standard deck of cards. What is the probability the top card is:a) a black ace?b) not a black ace?c) a diamond face card?d) a jack or a king?e) neither a queen nor an ace?7. In drawing 5 cards from a standard deck of cards without replacement, what is theprobability of:combinationa) getting 5 spades?b) getting 5 black cards?4'c) getting 5 face cards?1244d) getting just face cards or a aces?132 +e) getting 4 aces?i52f) getting 2 aces and 3 queens?8. The board of regents of a university is made up of 12 men and 16 women. If a committeeis chosen at random, what is the probability:a) that it will contain 3 men and 3 women?b) that it will contain 4 men and 2 women?9. A town council consists of 8 Democrats, 7 Republicans, and 5 Independents. A committeeof 3 is chosen by randomly pulling names from a hat. What is the probability that thecommittee has:a) 2 Democrats and 1 Republican?Xisb) 3 Independents?2923c) no Independents?d) 1 Democrat, 1 Republican, and 1 Independent?e) at least one Independent?10. Each of five cards is labeled with a letter A, B, C, D, or E. Two cards are chosen at randomwithout replacement. Find the probability that:a) both letters chosen are consonants.b) both letters chosen are vowels.

Answered: Image /qna-images/answer/412429f1-a0ec-4127-8492-bfe4884a9659.jpg

9. A town council consists of 8 Democrats, 7 Republicans, and 5 Independents. A committee of 3 is chosen by randomly pulling names from a hat. What is the probability that the committee has: IS a) 2 Democrats and 1 Republican? danta?

9. A town council consists of 8 Democrats, 7 Republicans, and 5 Independents. A committee of 3 is chosen by randomly pulling names from a hat. What is the probability that the committee has: IS a) 2 Democrats and 1 Republican? danta?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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