Using the binomial probability concept, the probability that Arias team will win exactly 2 games in the series is 0.3087
Recall this binomial probability relation :
[tex] P(x = x) = nCx \times p^{n} \times q^{n-x} [/tex]
- p = probability of success = 0.3
- Number of trials, n = 5
- q = 1 - p = 1 - 0.3 = 0.7
- x = 2
For exactly 2 wins :
[tex] P(x = 2) = 5C2 \times 0.3^{2} \times 0.7^{3} = 0.3087[/tex]
Hence, the probability of exactly 2 wins is 0.3087
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