10.6 compound events
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This document discusses probabilities of compound events involving cards being drawn from a deck and students applying to universities. It asks the probability of drawing certain face cards or suits of cards. It also asks the probability that a randomly selected student from a class applied to both a state and private university, given application numbers. Finally, it asks the probabilities of certain sums occurring when rolling two dice.
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Lesson 11 5 compound events
1. The document provides examples and definitions for compound probability, which involves finding the probability of two or more sequential events occurring.
2. To calculate the probability of landing on 1 and black on a spinner and choosing a black marble, all possible outcomes are listed in a tree diagram and the probability is calculated as the number of desired outcomes over the total number of outcomes.
3. Practice problems are provided to calculate various compound probabilities involving events like coin tosses, card draws from a bag, and spinner or dice rolls.
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This document defines and provides examples of simple, compound, mutually exclusive and inclusive events. It explains that for mutually exclusive events, the probability of A or B equals the sum of the individual probabilities, while for inclusive events it equals the sum of the individual probabilities minus the probability they both occur. It then gives examples of calculating probabilities for various card draws and die rolls.
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2. To calculate the probability of landing on 1 and black on a spinner and choosing a black marble, all possible outcomes are listed in a tree diagram and the probability is calculated as the number of desired outcomes over the total number of outcomes.
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The document discusses simulations of chance processes using random numbers. It provides examples of simulating rolling a die, flipping a coin, using a random number table or calculator function to generate random integers, drawing cards from a deck, and generating random boy/girl outcomes from multiple births. Students are asked to simulate processes like the probability of having a boy within 5 children or collecting all cards in a trading card game to specified numbers of boxes. The document emphasizes clearly stating the question of interest, planning the simulation using an appropriate chance device, performing many repetitions, and using results to answer the original question.
Conditional Probability
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1. Examples and formulas for calculating conditional probability
2. Practice problems solving for conditional probabilities in situations involving cards, dice, families, and committees
3. A discussion of how conditional probability can inform decisions about driving while using a cell phone, health, and sports.
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This document provides examples and explanations for determining whether events are independent or dependent. It begins with an anticipatory set asking how to determine if an event is independent or dependent. It then provides two example problems: (1) Calculating the probability that both student representatives for a class assembly will be girls if selected from a bag of 3 girls and 2 boys. (2) Calculating the probability of rolling a 2 on the first roll of a die and a number greater than 4 on the second roll. Homework and additional practice problems are assigned.
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Probability
1) The document provides information about an upcoming probability class, including no lecture on March 12th and a semester test on March 14th. Students should learn about finding probabilities of simple, mutually exclusive, independent, and complementary events.
2) It lists what students should be able to do, such as solve probability questions using sets, Venn diagrams, tree diagrams, and two-way tables.
3) Examples are given to illustrate union, intersection, and mutually exclusive events using cards from a deck. The probability of unions and intersections are also explained.
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- 1. 10.7 prob of compound events.notebook April 01, 2013 A card is randomly selected from a standard deck of 52 cards. What is the probability that the card is a 10 or a face card (jack, queen, king)? How many cards are 10, J, Q, or K? How many total cards are there?
- 2. 10.7 prob of compound events.notebook April 01, 2013 A card is randomly selected from a standard deck of 52 cards. What is the probability that the card is a face card or a spade? What is the probability that the card is an ace or a jack?
- 3. 10.7 prob of compound events.notebook April 01, 2013 In a class of 20 seniors, 17 have applied to a state university and 11 have applied to a private university. In all, 19 of the 20 students have applied to a university. What is the probability that a class member chosen at random has applied to a state university and a private university?
- 4. 10.7 prob of compound events.notebook April 01, 2013 When two six sided dice are rolled, 36 outcomes are possible, as shown. Find the probability of the given event. a) The sum is not 2. b) The sum is less than or equal to 10.