Answered: a) What is the chance that both are…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Consider a deck of cards that has 80 cards. Of these, 60 have a color and 20 are
“wild.” The 60 cards with a color are either red, yellow, green, or blue, with 15 of
each color. Two cards are said to “match” if any of the following are true: they have
the same color, one is a color and the other is wild, or both are wild. (This is a
simplified version of the card game UNO.) Two cards are drawn from the well-
shuffled deck without replacement. Express your answers to (a)-(d) as simplified
fractions or as percentages rounded to the nearest hundredth of a percent.

(a) What is the chance that both are blue? _________

(b) What is the chance that both are color cards and they are the same color?

_________

(c) What is the chance that one is a color card and the other is wild? _________

(d) What is the chance that they match, using the definition above? _________

(e) Are the following two events mutually exclusive? A wild card in either of two
draws and a match of two cards.

(Circle one) YES or NO
Explain in words.

(f) Are the following two events independent? A wild card in either of two draws and
a match of two cards.

(Circle one) YES or NO
Explain in words.

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