Question

1 pts
The probability of Aria's team winning any given game in a 5-game series is 0.3. What is the
probability Aria's team will win exactly 2 games in the series?

Answer 1

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 :

$P(x = x) = nCx \times p^{n} \times q^{n-x}$

• 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 :

$P(x = 2) = 5C2 \times 0.3^{2} \times 0.7^{3} = 0.3087$

Hence, the probability of exactly 2 wins is 0.3087

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