The Three Little Pig Construction Company makes homes built from straw, sticks a

Question

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 house 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 of straw. (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.

Explanation / Answer

0.03

Part a )

P( home is painted blue ) =   Sum of total of blue / grand total = 0.4 / 1 = 0.4

Part b )

P( home is made of straw) = sum of total of straw / grand total = 0.17 / 1 = 0.17

Part c )

P( home is made of sticks and white ) = corresponding probability for stick and white / grand total = 0.13 / 1 = 0.13

Part d )

P( home is made of sticks and painted white or is made of bricks and painted brown ) =

( corresponding probability of stick and white / grand total ) + ( corresponding probabillity of bricks and brown )

= ( 0.13 / 1) + ( 0.08 / 1 ) = 0.21

Part e )

P( straw or blue ) = (sum of probbability of straw / grand total ) + ( sum of probability of blue / grand total ) - ( corresponding probability for straw and blue / grand total ) =   (0.17 / 1 ) + ( 0.4 / 1 ) - ( 0.09 / 1) = 0.48

White Blue Brown Row sum Straw 0.05 0.09

0.03

0.17 Stick 0.13 0.11 0.17 0.41 Bricks 0.14 0.2 0.08 0.42 0.32 0.4 0.25 1

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