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Q1. There exists a deck of 15 cards contain 5 red cards, 5 blue card and 5 green cards. The cards are in a random order, and I turn them over, one at a time: Card 1, Card 2, ..., Card 15 without replacement. In this case, evaluate the following probabilities. i. Card 3 is red ii. Card 1 is red and Card 2 is not blue iii. Card 5 is blue or Card 8 is green iv. Card 2 is green given that Card 1 is green v. A colour appears more than once in the first 3 cards

Q1. There exists a deck of 15 cards contain 5 red cards, 5 blue card and 5 green cards. The cards are in a random order, and I turn them over, one at a time: Card 1, Card 2, ..., Card 15 without replacement. In this case, evaluate the following probabilities. i. Card 3 is red ii. Card 1 is red and Card 2 is not blue iii. Card 5 is blue or Card 8 is green iv. Card 2 is green given that Card 1 is green v. A colour appears more than once in the first 3 cards

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Week 7 Homework Question Q1. There exists a deck of 15 cards contain 5 red cards, 5 blue card and 5 green cards. The cards are in a random order, and I turn them over, one at a time: Card 1, Card 2, ..., Card 15 without replacement. In this case, evaluate the following probabilities. i. Card 3 is red ii. Card 1 is red and Card 2 is not blue iii. Card 5 is blue or Card 8 is green iv. Card 2 is green given that Card 1 is green v. A colour appears more than once in the first 3 cards
Transcribed Image Text:Week 7 Homework Question Q1. There exists a deck of 15 cards contain 5 red cards, 5 blue card and 5 green cards. The cards are in a random order, and I turn them over, one at a time: Card 1, Card 2, ..., Card 15 without replacement. In this case, evaluate the following probabilities. i. Card 3 is red ii. Card 1 is red and Card 2 is not blue iii. Card 5 is blue or Card 8 is green iv. Card 2 is green given that Card 1 is green v. A colour appears more than once in the first 3 cards
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