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The probability that it is British is 0.6164 if the Venn diagram shows the information about a stamp collection. f = 100 stamps in the collection A = stamps in the 20th century B = British stamps A B. X(X - 6) х 2x + 32 28 A stamp is chosen at random.
What is the Venn diagram?
It is defined as the diagram that shows a logical relation between sets.
The Venn diagram consists of circles to show the logical relation.
We have:
f = 100 stamps in the collection
A = stamps in the 20th century
B = British stamps
We can make a linear equation to solve for x as the total stamps are 100 in the collection.
[tex]\rm x(x-6)+x+2x+32= 100\\\\\rm x^2-6x+x+2x+32 = 100\\\\\rm x^2-3x-68 = 0[/tex]
After solving x = 9.88, or x = -6.88
Probability can't be negative so neglecting the negative ones
x = 9.88
The probability that it is British:
[tex]=\rm \frac{x +2x + 32}{100}[/tex]
[tex]=\rm \frac{9.88 +2(9.88) + 32}{100}[/tex]
= 61.64/100
= 0.6164
Thus, the probability that it is British is 0.6164 if the Venn diagram shows the information about a stamp collection. f = 100 stamps in the collection A = stamps in the 20th century B = British stamps A B. X(X - 6) х 2x + 32 28 A stamp is chosen at random.
Learn more about the Venn diagram here:
brainly.com/question/1024798
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