# Consider two products, A and B, both of which have the same purchase probability

Consider two products, A and B, both of which have the same purchase probability.
Product A has a population size of 1000 and a 50 percent awareness probability. Product B has a population size of 10,000 and a 5 percent awareness probability. Which product do you expect to sell more?
a. Product A
b. Product B

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Fesion
Given: Two products A and B, both of which have the same purchase probability.
As Product A has a population size of 1000 and a 50 percent awareness probability, therefore, total awareness of product A is:
$$\displaystyle{50}\%$$ off 1000
$$\displaystyle={\frac{{{50}}}{{{100}}}}\times{1000}$$
$$\displaystyle={\frac{{{1}}}{{{2}}}}\times{1000}$$
$$\displaystyle={500}$$
Therefore, 500 people are aware of product A.
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hotcoal3z
As Product B has a population size of 10,000 and a 5 percent awareness probability, therefore, total awareness of product B is:
$$\displaystyle{5}\%$$ off 10000
$$\displaystyle={\frac{{{5}}}{{{100}}}}\times{10000}$$
$$\displaystyle={\frac{{{1}}}{{{20}}}}\times{10000}$$
$$\displaystyle={500}$$
Therefore, 500 people are aware of product B.
As both the products have the same purchase probability and same awareness thus they are expected to sell the same amount.