University:
Williams College
Course:
MATH 341 | Probability
Academic year:

2024
Views:

409

Pages:

5
Author:

Kaitlyn Hendricks

Algebra 2 Honors Probability Test Review (Key) Name Assignment For the given configuration, determine how many different computer passwords are possible if (a) digits and letters can be repeated. 1. 3 digits followed by 4 letters. a. 10-10-10-26-26-26-26 b. 10.9.8.26.25.24.23 456,976,000 258,336,000 Evaluate the expression. You MUST show work! (b) digits and letters cannot be repeated. 2. 2 digits followed by 5 letters a. 102.26 1,188,137,600 b. 10.9.26.25.24.23.22 3. 51 5-4-3-2-1 120 = 6. 14P 14! 14-13-12-11-10.9.8.7 = 7! 7 17,297,280 710,424,000 4. 5-31 5. 3121 5.3.2.1 30 7.6.5.4.3 2.1 420 7. 293 B. 1410 29! 29.28.27.26 14. 14-13-12 26131 23-2-1 4.10. 4-3-2 3654 1001 Find the number of ways the letters of each word can be arranged. 9. ASSASSIN 81. 8.7.6.5.4 2.4. 2.1 = 840 10. MISSISSIPPI 11! 4!4!2! 11-10-98-7.6.5.4 44.3.2.1.2.1 34,650 11. How many even 3-digit positive integers can be written using the digits 2, 4, 5, 6, and 8 if the numbers a) can be repeated and b) cannot be repeated? a. 5.5.4 b. 3.4.4 100 48 12. How many combinations can be formed from the letters in LEAST, taking them 2 at a time? 5210 13. How many positive integers less than 25 can be formed by using the digits 1, 2, and 3? 3 6 13 12 24 2.3 Single double 24 9 Find the number of possible 5-card hands that contain the cards specified. 14. 5 red cards 26C= 65,780 15. 4 spades and 1 card that isn't a spade 13439C, 715-39 = 27,885 16. 3 face cards 17. 2 aces 12C 40C2 42 483 220-780 = 171,600 6.17296 103,776 18. A committee of six members needs to be chosen from a 52-member club. How many ways can the committee be chosen? 52C= 20,358,520 19. A committee of 3 is selected from Sarah, Michael, Mark, Andrew, Kristen, and Natalie. How many committees contain 2 boys and 1 girl? 323, 3.39 20. A box of pencils contains 4 red, 2 white, and 3 blue pencils. How many different ways can 2 red, 1 white, and 1 blue pencil be selected? 423 6.2.3: 36 21. In how many ways can a committee consisting of a president, vice-president, secretary, and treasurer be formed from a group of 50 students? P 4 5,527,200 Integers 1-80 are used to play a counting game- each number is equally as likely to be chosen. Find the indicated probability that: 22. An odd number is chosen. 4980=2 23. A number greater than 50 is chosen. 30/80 = 3/8 24. A multiple of 3 is chosen. 26/80= 13/40 25. A perfect cube is chosen. 4/80 1/20

Math Probability Test Review Key

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