1. The probability that a person has blonde hair is .30. The probability that a

Question

1. The probability that a person has blonde hair is .30. The probability that a person has brown eyes is .50. The probability that a person has blonde hair or blue eyes is .60. What is the probability that person does not have blonde hair and does not have blue eyes?

a. .15

b. 1.2

c. .20

d. .40

2. The probability that a piece of cheese is delicious is .80. Suppose each piece of cheese is independent. I eat 5 pieces of cheese. What is the probability that they all are delicious?

a..8^5 = .328

b.5*.8 =.40

c. 5*.8^4*.2 = .4096

d..8/5 = .16

3. Let A be the event that a person owns a home. Let B be the event that a person likes jazz. Which of the following is true?

a. A and B are disjoint events

b. A and B are independent events.

c. A and B are disjoint and independent events.

d. A and B are neither disjoint nor independent events.

Explanation / Answer

1)

P(H) = 0.3
P(E) = 0.5
P(Blonde hair or blue eyes) = P(H or E) = 0.6

P(H' and E') = P(H or E)'

P(H or E)' = 1 - P(H or E) = 1 - 0.6 = 0.4

P( not Blonde hair and not blue eyes) = 0.40

Answer is d)

2)

Probability of a piese of cheese is delicious = 0.80

total pieces of cheese = 5
probability that they all are delicious = 0.8^5 = 0.328

3)
A and B are independent events. These are also disjoint events.
When two events are said to be independent of each other, what this means is that the probability that one event occurs in no way affects the probability of the other event occurring

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