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Part 2: Find each of the probabilities when a state is chosen at random: A. P(A or B) В. Р(А) С. Р(В) D. P(A and B)

Part 2: Find each of the probabilities when a state is chosen at random: A. P(A or B) В. Р(А) С. Р(В) D. P(A and B)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Just need help with part 2 please!

Jada has a way to find the probability of a random outcome being in event A or event B. She says, "We use the probability of the outcome being in event A, then add the probability of the outcome being in category B. Now some outcomes have been counted twice, so we have to subtract the probability of the outcome being in both events so that those outcomes are only counted once." Jada's method can be rewritten as: P(A or B) = P(A) + P(B) - P(A and B) 1. The table of data summarizes information about the 50 states in the United States from a census in the year 2000. A state is chosen at random from the list of 50. Let event A be "the state name begins with A through M" and event B be "the population of the state is less than 4 million." 2. The table of data summarizes information about the 50 states in the United States Population Population Population < 4 Million 24 Million Names A thru M 11 15 Names N thru Z 13 11 Alaska is one of the 11 states in the top left cell of the table. California is one of the 15 states in the top right cell of the table. Nebraska is one of the 13 states in the bottom left cell of the table. New York is one of the 11 states in the bottom right cell of the table. For each event, write which of the four states listed here is an outcome in that event. а. Aor B b. A с. В d. A and B Part 2: Find each of the probabilities when a state is chosen at random: A. P(A or B) В. Р(А) C. P(B) D. P(A and B)
Transcribed Image Text:Jada has a way to find the probability of a random outcome being in event A or event B. She says, "We use the probability of the outcome being in event A, then add the probability of the outcome being in category B. Now some outcomes have been counted twice, so we have to subtract the probability of the outcome being in both events so that those outcomes are only counted once." Jada's method can be rewritten as: P(A or B) = P(A) + P(B) - P(A and B) 1. The table of data summarizes information about the 50 states in the United States from a census in the year 2000. A state is chosen at random from the list of 50. Let event A be "the state name begins with A through M" and event B be "the population of the state is less than 4 million." 2. The table of data summarizes information about the 50 states in the United States Population Population Population < 4 Million 24 Million Names A thru M 11 15 Names N thru Z 13 11 Alaska is one of the 11 states in the top left cell of the table. California is one of the 15 states in the top right cell of the table. Nebraska is one of the 13 states in the bottom left cell of the table. New York is one of the 11 states in the bottom right cell of the table. For each event, write which of the four states listed here is an outcome in that event. а. Aor B b. A с. В d. A and B Part 2: Find each of the probabilities when a state is chosen at random: A. P(A or B) В. Р(А) C. P(B) D. P(A and B)
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