A survey among students about the type of soda they liked showed the following results: 44% liked Solo. 50% liked Coca Cola. 78% liked Pepsi. 18% liked both Coca Cola and Solo. 34% liked both Solo and Pepsi. 40% liked both Pepsi and Coca Cola. 12% liked everyone three types of effervescence. We pick a random student a) What is the probability that this student likes at least one of the three types of soda? b) What is the probability that the student likes both Solo and Pepsi but not Coca Cola? c) What is the probability that the student only likes Coca Cola but none of the others

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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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A survey among students about the type of soda they liked showed the following
results: 44% liked Solo. 50% liked Coca Cola. 78% liked Pepsi. 18% liked both Coca Cola
and Solo. 34% liked both Solo and Pepsi. 40% liked both Pepsi and Coca Cola. 12% liked everyone
three types of effervescence.
We pick a random student
a) What is the probability that this student likes at least one of the three types of soda?
b) What is the probability that the student likes both Solo and Pepsi but not Coca Cola?
c) What is the probability that the student only likes Coca Cola but none of the others
the types of effervescence?
2) In a box there are 50% red, 30% green and 20% blue balls. Some of the balls have white
dots. This applies to 4% of the reds, 5% of the green ones and 1% of the blue ones. A ball is drawn
random from the box.
a) What is the probability of drawing a ball with white dots?
b) A ball with white dots is drawn. What is the probability that the ball is red?
c) A ball with white dots is drawn. What is the probability that the ball is blue?
Transcribed Image Text:A survey among students about the type of soda they liked showed the following results: 44% liked Solo. 50% liked Coca Cola. 78% liked Pepsi. 18% liked both Coca Cola and Solo. 34% liked both Solo and Pepsi. 40% liked both Pepsi and Coca Cola. 12% liked everyone three types of effervescence. We pick a random student a) What is the probability that this student likes at least one of the three types of soda? b) What is the probability that the student likes both Solo and Pepsi but not Coca Cola? c) What is the probability that the student only likes Coca Cola but none of the others the types of effervescence? 2) In a box there are 50% red, 30% green and 20% blue balls. Some of the balls have white dots. This applies to 4% of the reds, 5% of the green ones and 1% of the blue ones. A ball is drawn random from the box. a) What is the probability of drawing a ball with white dots? b) A ball with white dots is drawn. What is the probability that the ball is red? c) A ball with white dots is drawn. What is the probability that the ball is blue?
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