Problem 1 Consider the figure below and calculate the following probabilities: (a) P(CJA) (b) Р(BIA N B) (c) P(B|A U B) (d) P(A|A U Bu C) (ө) Р(А П ВІА U B) A 0.05 0.04 0.07 0.05 0.01 0.08 0.02 0,04 0.05 0.07 0.08 0.06 0.11 0.11 B 0.13 0.03 Problem 2 A card is drawn at random from a pack of cards. Calculate: (a) P(heart|card from red suit (b) P(card from red suit|heart) (d) P(heart|card from black suit) (e) P(king|card from red suit) (f) P(king|red picture card)

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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Problem 1
Consider the figure below and calculate the following probabilities:
(a) P(CJA)
(b) Р(BIA N B)
(c) P(B|A U B)
(d) P(A|A U Bu C)
(ө) Р(А П ВІА U B)
A
0.05
0.04
0.07
0.05
0.01
0.08
0.02
0,04
0.05
0.07
0.08
0.06
0.11
0.11
B
0.13
0.03
Problem 2
A card is drawn at random from a pack of cards. Calculate:
(a) P(heart|card from red suit
(b) P(card from red suit|heart)
(d) P(heart|card from black suit)
(e) P(king|card from red suit)
(f) P(king|red picture card)
Transcribed Image Text:Problem 1 Consider the figure below and calculate the following probabilities: (a) P(CJA) (b) Р(BIA N B) (c) P(B|A U B) (d) P(A|A U Bu C) (ө) Р(А П ВІА U B) A 0.05 0.04 0.07 0.05 0.01 0.08 0.02 0,04 0.05 0.07 0.08 0.06 0.11 0.11 B 0.13 0.03 Problem 2 A card is drawn at random from a pack of cards. Calculate: (a) P(heart|card from red suit (b) P(card from red suit|heart) (d) P(heart|card from black suit) (e) P(king|card from red suit) (f) P(king|red picture card)
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