{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# CS 237 Spring 2021, HW 06 \n", "\n", "#### Due date: Thursday March 11th at Midnight (1 minute after 11:59pm on 2/11) via Gradescope (6 hour grace period)\n", "\n", " Late policy: You may submit the homework up to 24 hours late for a 10% penalty. Hence, the late deadline is Friday 3/12 at Midnight (with the same 6 hour grace period). \n", "\n", "#### General Instructions\n", "\n", "Please complete this notebook by filling in solutions where indicated. Be sure to \"Restart and Run All\" from the Kernel menu before submitting to Gradescope. \n", "\n", "There are 8 analytical problems; no programming this time! An introductory video will be posted on YT. " ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# Here are some imports which will be used in code that we write for CS 237\n", "\n", "# IMPORTANT: DO NOT MAKE ANY OTHER IMPORTS WITHOUT DISCUSSING WITH PROFESSOR SNYDER\n", "\n", "# Imports used for the code in CS 237\n", "\n", "import numpy as np # arrays and functions which operate on arrays, plus math functions\n", "\n", "import math # You may use the math library if you really want, but\n", " # I recommend you use the numpy library for all mathematical operations.\n", " # Examples of use are in the notebook NumpyTutorial.ipynb on the class web site. \n", "\n", "from scipy.special import comb # comb(N,K) = C(N,K) returns a floating-point number\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Problem 1\n", "\n", "We consider permutations of the word MISSISSIPPI, where the S's are indistinguishable, and similarly for the I's and the P's. \n", "\n", "(A) How many permutations are there, with only the restriction that repeated letters are indistinguishable?\n", "\n", "(B) How many permutations are there in which you do not change the order of the vowels or consonants?\n", "\n", "(C) How many permutations are there in which all the S's are next to each other (\"SSSS\")?\n", "\n", "(D) How many permutations are there which begin with a consonant and end in a vowel?\n", "\n", "In all parts, repeated letters are indistinguishable. \n", "\n", "\n", "Show all work (i.e., the formulae used to derive the answers). " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Solution:**\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Problem 2\n", "\n", " Suppose you deal a poker hand of 5 cards from a standard deck without replacement, as discussed in lecture. \n", "\n", "(A) What is the probability of a flush (all the same suit) of all red cards?\n", "\n", "(B) What is the probability of a full house where the 3-of-a-kind include two black cards, and neither of the 2-of-a-kind is a club?\n", "\n", "(C) What is the probability of a pair, where all the 3 non-paired cards have the same suit?\n", "\n", "(D) What is the probability of two pairs, where the one unpaired card is an Ace?\n", "\n", "(E) What is the probability of two pairs, where one of the pairs has only red cards, and the other pair has only black cards?\n", "\n", "Hint: These are all modifications of the formulae given in lecture. \n", "\n", "Show all work (i.e., the formulae used to derive the answers) and give the result in decimal. " ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "**Solution:**\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Problem 3\n", "\n", "Suppose you have a group of 12 people. \n", "\n", "(A) How many *ways* are there to separate these 12 people into two teams of 7 and 5 people?\n", "\n", "(B) How many *ways* are there to separate these 12 people into two teams of 6 people each?\n", "\n", "(C) How many *ways* are there to separate these 12 people into two teams of 6 people, one called the \"Red Team\" and the other called the \"Black Team\"? \n", "\n", "(D) How many *ways* are there to separate these 12 people into five groups of 2, 2, 2, 3, and 3 each?\n", "\n", "(E) How many *ways* are there to separate these 12 people into 4 groups of 3 people each for an experiment, with one group being the control group (taking a placebo) and the other three being test groups (each taking the same drug). \n", "\n", "Hint on (E): The test groups are indistinguishable. \n", "\n", "Show all work (i.e., the formulae used to derive the answers). \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Solution:**\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Problem 4\n", "\n", "In this problem, we have a deck of 52 cards and we shuffle them randomly and deal the whole deck out to 4 people, so that each player has 13 cards. As usual, when dealing cards, it is without replacement and the \"hand\" that each player has is a set.\n", "\n", "(A) What is the probability that each player will receive all cards of one suit (i.e., one gets all clubs, another all hearts, another all diamonds, and another all spades)?\n", "\n", "(B) What is the probability that each player will receive exactly three face cards?\n", "\n", "\n", "\n", "Hint: (A) can be done with simple permutations; (B) is combinations, or permutation with duplicates; think of dealing out all 52 cards in a sequence, and then giving the first 13 to the first player, the second 13 to the second player, and so on. This is the sample space. Then consider how many such arrangements satisfy the constraint. \n", "\n", "For full credit, you must show your reasoning (e.g., the formula) and give the result in decimal. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Solution:**\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Problem 5\n", "\n", "The elevator of a four-floor building leaves the first floor with six passengers and stops at all of the remaining three floors. If it is equally likely that a passenger gets off at any of these three floors, what is the probability that, at each stop of the elevator, at least one passenger departs?\n", "\n", "Hint: Use Inclusion/Exclusion. This is a problem in which you need to exercise your creativity by considering a change of representation. Instead of focussing on the sequence of floors and who gets off on them, focus on the sequence of passengers and what floor they get off on, e.g., 222222 means all passengers got off at floor 2, and 433332 means passenger 1 got off at 4, passenger 6 got off at 2, and the rest at 3. You need to count the total number of such sequences, subtract the number of sequences missing at least 1 number, and then add back the sequences missing two numbers.\n", "\n", "Note carefully that the only numbers involved are 2, 3, and 4 (since they start at floor 1, this is not included). \n", "\n", "For full credit, you must show your reasoning (e.g., the formula) and give the result in decimal. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Solution:** \n", " \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Problem 6\n", "\n", "Suppose 6 boys and 4 girls sit together in a row in random order.\n", "\n", "(A) What is the probability that all the girls sit together and all the boys sit together (i.e., there is no boy sitting between two girls and no girl sitting between two boys)?\n", "\n", "(B) What is the probability that no two girls sit together?\n", "\n", "For full credit, you must show your reasoning (e.g., the formula) and give the result in decimal. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Solution:**\n", "\n" ] }, { "attachments": { "Screen%20Shot%202021-03-06%20at%201.32.08%20PM.png": { "image/png": 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" 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "### Problem 7\n", "\n", "(A) How many paths are there from start to end in the following 2D grid? \n", "\n", "![Screen%20Shot%202021-03-06%20at%201.32.08%20PM.png](attachment:Screen%20Shot%202021-03-06%20at%201.32.08%20PM.png)\n", "\n", "Hint: You must make 6 moves to the right and 4 moves up, in any combination. \n", "\n", "(B) How many paths are there from start to end in the following 3D grid?\n", "\n", "![Screen%20Shot%202021-03-06%20at%201.45.13%20PM.png](attachment:Screen%20Shot%202021-03-06%20at%201.45.13%20PM.png)\n", "\n", "Hint: You must make 3 moves in the X direction, 3 in the Y direction, and 3 in the Z\n", "direction, in any order. \n", "\n", "\n", "For full credit, you must explain your reasoning. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Solution:**\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Problem 8\n", "\n", "Suppose you have to hand out 10 cookies to 5 children. The cookies are indistinguishable from each other\n", "and so are the kids. \n", "\n", "(A) How many *ways* are there to do this? (Hint: you should include---unfortunately---the situation where one or more children get no cookies.)\n", "\n", "(B) How many *ways* are there to do this if each child must get at least one cookie?\n", "\n", "You must explain your reasoning for full credit. \n", "\n", "Hint: Stars and Bars!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Solution:**\n", "\n" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.6" } }, "nbformat": 4, "nbformat_minor": 2 }