Basic Counting Practice Problems
Basic Counting- Practice Problems 1. A course catalog for the Open University of Earth lists classes via a sequence of three numbers (chosen from 0 to 9) followed by three letters in English (chosen from A to Z). How many courses can be given unique catalog numbers? Choose the best answer. a. 10×9×8×26×25×24 b. (10×10×10)+(26×26×26) c. 10³×26³ d. 10×3×26×3 2. A course catalog for the Open University of Earth lists classes via a sequence of three numbers (chosen from 0 to 9 ) followed by three letters in English (chosen from A to Z). Is this enough to offer 5 million courses? Choose the best answer. a. Yes b. No 3. Let’s say you have a class of 15 students, eight of them girls and seven boys. You want to choose a committee of four students, with two girls and two boys. How many ways can you do this? Choose the best answer. a. b. 7 8 ( )+( ) 2 2 7 8 ( )×( ) 2 2 c. 8×7+7×6 d. 8×7×7×6 4. Say you flip a fair coin eight times. What is the probability of getting four heads and four tails in any order? Choose the best answer. a. b. c. d. (12) 2 8! (8) 4 28 4!×4! 8! 24 ×24 28 5. Suppose that you play a game by rolling three dice, and your score is the highest number that appears on any of the dice. What is the probability that your score is ” 1 “? Choose the best answer. 53 a. 1 − 63 52 b. 1 − 63 c. d. 1 216 6×52 63 Revised: 05.20.21 6. What is the probability of being dealt 5 cards of the same suit (flush)? Choose the best answer. a. b. c. d. 9×45 (52) 5 4×13×12×11×10×9 (52) 5 13×12×11×10×9 (52) 5 (4)×(13) 1 5 (52) 5 7. In a drastically simplified poker game, you’re dealt just two cards. If you get a pair—that is, if the two cards are of the same denomination—you receive $50. If you get a “flush”—two cards of the same suit—the payoff is $10. What’s the expected value of the game? Choose the best answer. a. 50+10 2 b. 50 × 13×(4) 4×(13) 2 + 10 × 522 52 ( ) ( ) 2 2 3 12 c. 50 × 51 + 10 × 51 156 624 ( ( d. 50 × 52 + 10 × 52 Revised: 05.20.21 2 ) 2 )
Collepals.com Plagiarism Free Papers
Are you looking for custom essay writing service or even dissertation writing services? Just request for our write my paper service, and we'll match you with the best essay writer in your subject! With an exceptional team of professional academic experts in a wide range of subjects, we can guarantee you an unrivaled quality of custom-written papers.
Get ZERO PLAGIARISM, HUMAN WRITTEN ESSAYS
Why Hire Collepals.com writers to do your paper?
Quality- We are experienced and have access to ample research materials.
We write plagiarism Free Content
Confidential- We never share or sell your personal information to third parties.
Support-Chat with us today! We are always waiting to answer all your questions.
