Question

Nour and Rana are shopping for a Christmas tree. They are deciding between 2 22 different types of trees (real and fake) and 4 44 colors for the ornaments (white, silver, gold, and purple). They each created a display to represent the sample space of randomly picking a type of tree and a color for the ornaments.

Answer 1

Given :  Nour and Rana are shopping for a Christmas tree. They are deciding between 2   different types of trees (real and fake)  and 4   colors for the ornaments (white, silver, gold, and purple).

To Find :   Sample Space

Solution:

What is the Questions is not mentioned

but we will find the sample  space for given data

types of trees   A  = 2

{ Real , Fake }

n(A) = 2

Type of Colors   of Ornaments B = 4

{ white, silver, gold,   purple }

n(B) = 4

n(S)  = n(A) * n(B)

=> n(S) =  2 * 4 =  8

{ (Real, white), (Real, silver), (Real, gold),  (Real, purple) ,  (Fake,  white), (Fake, silver), (Fake, gold),   (Fake, purple) }

Question can be what is the probability that  both Choose same Combination

=  ⁸C₁(1/8)(1/8)

= 1/8

1/8 is the  probability that  both Choose same  

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