Using the combination formula, there are 35 ways to chosen the stock, and a 0.0286 = 2.86% probability that you would obtain the three highest-returning stocks.
The order in which the stocks are chosen is not important, hence the combination formula is used to solve this question.
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, 3 stocks are taken from a set of 7, hence:
[tex]C_{7,3} = \frac{7!}{3!4!} = 35[/tex]
Hence the probability that you would obtain the three highest-returning stocks is:
p = 1/35 = 0.0286 = 2.86%.
More can be learned about the combination formula at https://brainly.com/question/25821700
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