Chapter 4 Slides
... • There are a fixed number of trials, denoted by the letter n. • There are only two possible outcomes, called "success" and "failure," for each trial. The letter p denotes the probability of a success on one trial, and q denotes the probability of a failure on one trial. p + q = 1. • The n trials ar ...
... • There are a fixed number of trials, denoted by the letter n. • There are only two possible outcomes, called "success" and "failure," for each trial. The letter p denotes the probability of a success on one trial, and q denotes the probability of a failure on one trial. p + q = 1. • The n trials ar ...
Understanding Probability Laws
... Understanding Probability Laws Let a random experiment have sample space S. Any assignment of probabilities to events must satisfy three basic laws of probability, called Kolmogorov’s Axioms: 1) For any event A, P(A) ≥ 0. 2) P(S) = 1. 3) If A and B are two mutually exclusive events (i.e., they canno ...
... Understanding Probability Laws Let a random experiment have sample space S. Any assignment of probabilities to events must satisfy three basic laws of probability, called Kolmogorov’s Axioms: 1) For any event A, P(A) ≥ 0. 2) P(S) = 1. 3) If A and B are two mutually exclusive events (i.e., they canno ...
Review - Lexington Public Schools
... where P(B | A) means prob. of B given A □ If events A and B are independent: P(A and B) = P(A) · P(B) ...
... where P(B | A) means prob. of B given A □ If events A and B are independent: P(A and B) = P(A) · P(B) ...
Math 111 Practice Test for Chapter 11 Solve the following problems
... 1 through 8. If the pointer lands on a borderline, spin again. Find the probability that the pointer will stop on an even number or a number less than 4. (one answer) ...
... 1 through 8. If the pointer lands on a borderline, spin again. Find the probability that the pointer will stop on an even number or a number less than 4. (one answer) ...
Experimental Probability 1-2-13
... Equally likely outcomes have the same chance of occurring. When you toss a fair coin, heads and tails are equally likely outcomes. Favorable outcomes are outcomes in a specified event. For equally likely outcomes, the theoretical probability of an event is the ratio of the number of favorable outco ...
... Equally likely outcomes have the same chance of occurring. When you toss a fair coin, heads and tails are equally likely outcomes. Favorable outcomes are outcomes in a specified event. For equally likely outcomes, the theoretical probability of an event is the ratio of the number of favorable outco ...
Department of Mathematics Math 132 Spring 2007 Test 3 Solution
... At the Milex tune-up and brake shop, the manager has found out that a car will require tune-up with a probability of 0.6, a brake job with a probability of 0.3, and both a tune-up and a brake job with a probability of 0.1. What is the probability that a randomly chosen car at the shop [Hint: Draw a ...
... At the Milex tune-up and brake shop, the manager has found out that a car will require tune-up with a probability of 0.6, a brake job with a probability of 0.3, and both a tune-up and a brake job with a probability of 0.1. What is the probability that a randomly chosen car at the shop [Hint: Draw a ...
Slide 1
... Warm Up 1. If you roll a number cube, what are the possible outcomes? 1, 2, 3, 4, 5, or 6 2. Add 3 + 1. 1 ...
... Warm Up 1. If you roll a number cube, what are the possible outcomes? 1, 2, 3, 4, 5, or 6 2. Add 3 + 1. 1 ...
Answer Key - cloudfront.net
... 28. A game consists of tossing a coin and rolling a six-sided die. The results can be recorded easily; for example, if heads shows on the coin and a 4 shows on the die, record this as H4. List the sample space for the results of this game. ...
... 28. A game consists of tossing a coin and rolling a six-sided die. The results can be recorded easily; for example, if heads shows on the coin and a 4 shows on the die, record this as H4. List the sample space for the results of this game. ...
155S4.4_3 Multiplication Rule: Basic
... Some calculations are cumbersome, but they can be made manageable by using the common practice of treating events as independent when small samples are drawn from large populations. In such cases, it is rare to select the same item twice. ...
... Some calculations are cumbersome, but they can be made manageable by using the common practice of treating events as independent when small samples are drawn from large populations. In such cases, it is rare to select the same item twice. ...
7-3 Sample Spaces and Events - University of Colorado Boulder
... Random experiments: Experiments which do not yield the same results ( flipping coins, rolling dice, spinning a number wheel, ..) The single outcome from an experiment cannot be predicted with certainty. Sample spaces and events: The sample space (S) is the collection of basic outcomes of an experime ...
... Random experiments: Experiments which do not yield the same results ( flipping coins, rolling dice, spinning a number wheel, ..) The single outcome from an experiment cannot be predicted with certainty. Sample spaces and events: The sample space (S) is the collection of basic outcomes of an experime ...
Slides - UTSA CS
... Prosecutor’s fallacy P (g | m) = P (m | g) * P(g) / P (m) ~ P(g) / P(m) • P(g): the probability for someone to be guilty with no other evidence • P(m): the probability for a DNA match • How to get these two numbers? – We don’t really care P(m) – We want to compare two models: • P(g | m) and P(i | m ...
... Prosecutor’s fallacy P (g | m) = P (m | g) * P(g) / P (m) ~ P(g) / P(m) • P(g): the probability for someone to be guilty with no other evidence • P(m): the probability for a DNA match • How to get these two numbers? – We don’t really care P(m) – We want to compare two models: • P(g | m) and P(i | m ...
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... Suppose we have N trials and a specified event occurs r times. ★ example: rolling a dice and the event could be rolling a 6. ◆ define probability (P) of an event (E) occurring as: P(E) = r/N when N →∞ ★ examples: ■ six sided dice: P(6) = 1/6 ■ coin toss: P(heads) = 0.5 ☞ P( ...
... Suppose we have N trials and a specified event occurs r times. ★ example: rolling a dice and the event could be rolling a 6. ◆ define probability (P) of an event (E) occurring as: P(E) = r/N when N →∞ ★ examples: ■ six sided dice: P(6) = 1/6 ■ coin toss: P(heads) = 0.5 ☞ P( ...
Probability and Statistics - DocuShare
... CC.2.4.HS.B.7 – Apply the rules of probability to compute probabilities of compound events in a uniform probability model. ...
... CC.2.4.HS.B.7 – Apply the rules of probability to compute probabilities of compound events in a uniform probability model. ...
