Name _____________________________ Period___________________Date__________________ OPTIONS FOR INQUIRY Probability Practice In this lab‚ you will model the distribution of alleles‚ calculate the probabilities of specific allele combinations‚ and compare them to those that Gregor Mendel found in his work. PROBLEM What is the probability that certain genotypes and phenotypes will occur? MATERIALS 2 pennies 4 cm masking tape marker one folded‚ 3" × 5" index card with
Premium Genetics Allele Gene
idea of probability to describe the outcomes of real life phenomena has been an invaluable tool for many different fields. The concern of the present discussion is blackjack. Though to some a seemingly trivial topic‚ the use of probabilistic strategies in blackjack and other gambling games has earned many players a fair amount of reward (Thompson‚ 2009). Indeed‚ some of the earliest applications of probability were motivated by gambling games (Jardine‚ 2000). In blackjack‚ the use of probability underlies
Premium Probability theory Random variable
| |Vocabulary: |Visuals‚ Materials & Texts: | |probability‚ event‚ outcome‚ sample space‚ tree diagram |graphing calculators‚ dice‚ coins‚ poster of tree diagram‚ index | | |cards for visual/verbal word association cards.
Premium Sentence Word Probability theory
Conditional Probability Bayes’ Theorem Fall 2014 EAS 305 Lecture Notes Prof. Jun Zhuang University at Buffalo‚ State University of New York September 10‚ ... 2014 Prof. Jun Zhuang Fall 2014 EAS 305 Lecture Notes Page 1 of 26 Conditional Probability Bayes’ Theorem Agenda 1 Conditional Probability Definition and Properties Independence General Definition 2 Bayes’ Theorem Partition Theorem Examples Prof. Jun Zhuang Fall 2014 EAS 305 Lecture Notes Page
Premium Conditional probability Probability theory
Office hrs: Wilson Law KKL930 2859-1044 kitpongwong@hku.hk 2:30p.m. – 3:30p.m.‚ Friday Lecture Note 1 Basic Concepts 3 Risk Preferences • Lottery: p。x (1 – p)。y. It means that prize x is received with probability p and prize y is received with probability (1 – p). p x 1–p y • Expected Utility Theorem Given some mild assumptions‚ there is a utility function‚ U‚ that describes an individual’s preferences over lotteries and has the following expected utility property:
Premium Game theory Nash equilibrium Risk aversion
As humans we naturally believe that the sun will rise tomorrow. But why is it that we believe this? In the following essay I will explore the logic behind this question focusing on Bertrand Russell’s arguments of induction‚ and the uniformity of nature as presented in his book “The Problems of Philosophy” Russell’s principle of the uniformity of nature suggests humans and animals fall into the trap of believing that everything that has and will happen becomes a “general law with no exceptions”
Free Logic Inductive reasoning
provides a rational framework for choosing between alternative courses of action when the consequences resulting from this choice are imperfectly known. Two streams of thought serve as the foundations: utility theory and the inductive use of probability theory. The intent of this paper is to provide a tutorial introduction to this increasingly important area of systems science. The foundations are developed on an axiomatic basis‚ and a simple example‚ the "anniversary problem‚" is used to illustrate
Premium Decision theory Random variable Probability theory
The second one was a probability ques. If you flip four quarters and get $1 for each head‚ what is the expected value? I said $2 because the flips are independent‚ easy enough. Then he asked‚ now assume after you flip the four quarters you can flip one of them again(if it was tails)‚ now what is the expected value? I said‚ $2.50 figuring in another 50cents for the extra flip. He says no‚ gives the hint that would you flip again in every outcome...oooh I got his hint but
Premium Dice Game English-language films
Math – 213 Problem Set Solve each of the following problems. 1. A coin is tossed four times. What is the probability that at least 2 heads will occur? 2. A pair of dice is rolled. What is the probability that the sum is equal to the following? a. 5 b. 10 c. at most 9 d. at least 8 3. A chip is drawn at random from a jar containing 8 red‚ 2 blue‚ 3 green‚ 4 yellow‚ and 3 white chips. Determine the probability that it is: a. Red b. Yellow or red c. Not orange 4. In a graduating class of 300 students
Premium Random variable Probability theory Voter turnout
Probability Introduction The probability of a specified event is the chance or likelihood that it will occur. There are several ways of viewing probability. One would be experimental in nature‚ where we repeatedly conduct an experiment. Suppose we flipped a coin over and over and over again and it came up heads about half of the time; we would expect that in the future whenever we flipped the coin it would turn up heads about half of the time. When a weather reporter says “there is a 10% chance
Premium Probability theory Conditional probability Playing card