The Three Little Pig Construction Company makes homes built

The Three Little Pig Construction Company makes homes built from straw, sticks and bricks. These homes come painted in white, blue, or brown. The probability of each type of home being built by this construction company is given in the following chart:

A home built by the Three Little Pigs Construction Company is selected at random.

a.) Find the probability the home is painted blue.

b.) Find the probability the home is made straws.

c.) Find the probability the home is made of sticks and is painted white.

d.) Find the probability the home is made of sticks and painted white or is made of bricks and painted brown

e.) Find the probability the home is made of straw or is painted blue

Solution

a)

P(blue) = 0.09+0.11+0.2 = 0.40 [ANSWER]

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b)

P(straws) = 0.05 + 0.09 + 0.03 = 0.17 [ANSWER]

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c)

P(stick and white) = 0.13 [ANSWER]

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d)

P(stick and white or bricks and brown) = 0.13 + 0.08 = 0.21 [ANSWER]

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e)

P(straw or blue) = 0.05 + 0.09 + 0.03 + 0.11 + 0.2 = 0.48 [ANSWER]