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1.- If we flip two coins, what is the probability of the event A={at least one head}?

Opción 1

a) P(A) = 1/3

Opción 2

b) P(A) = 2/3

Opción 3

c) P(A) = 1/4

Opción 4

d) P(A) = 3/4

2.- If we roll two dice, what is the probability of the event A={the addition is 10}?

a) P(A) = 2/11

b) P(A) = 1/12

c) P(A) = 1/18

d) P(A) = 5/36

3.- In a city, 40% of the people like books, 50% like movies and 60% like one of them or both.If we choose a person randomly, what is the probability that he or she likes both books and movies?

a) 0.1

b) 0.2

c) 0.3

d) 0.4

4.- In a city, 40% of the people like books, 50% like the movies and 60% like one of them or both.If we choose a person randomly and he or she likes the movies, what is the probability that he or she likes books?

a) 0.3

b) 0.4

c) 0.5

d) 0.6

5.- A company has two production lines. Line 1 produces 60% of the products and line 2 produces the rest of them. We know that 0.5% of the products from line 1 are defective and 2% from line 2. If we choose a product randomly, what is the probability that it is defective?

a) 0.07

c) 0.011

d) 0.012

6.- A company has two production lines. Line 1 produces 60% of the products and line 2 produces the rest of them. We know that 0.5% of the products from line 1 are defective and 2% from line 2. If we choose a product randomly and it is defective, what is the probability that it has been made by line 2?

a) 0.73

b) 0.8

c) 0.27

d) 0.78

7.- A company produces two models of a product: A and B. 10% of the products are model A and 90 % are model B. The probability that a product is defective is 0.02 if it is model A and 0.01 if it is model B. If we choose a product randomly, what is the probability that it is defective?

b) 0.23

c) 0.07

d) 0.011

8.- A company produces two models of a product: A and B. 10% of the products are model A and 90 % are model B. The probability that a product is defective is 0.02 if it is model A and 0.01 if it is model B. If we choose a product randomly and it is defective, what is the probability that it is model A?

a) 0.18

c) 0.31

d) 0.12

9.- In a test of 100 question, every question has 4 possible answers but only one is correct. Calculate the probability that a student has more than 20 correct answers if he or she answers the questions randomly.

a) 0.932

b) 0.8980

c) 0.874

d) 0.9193

10.- Cholesterol level of a healthy adult follows a Gaussian distribution with mean 192 and SD 12, according to recent medical researches. Calculate the probability that a wealthy adult has a cholesterol level less than 186.

a) 0.3225

b) 0.4103

c) 0.2121

d) 0.3085

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