Question

What is the probability that the San Jose Sharks win six games in that upcoming month?

$a.0.1476b.0.2336c.0.7664d.0.8903$

Short answer

The probability that the San Jose Sharks win six games in that upcoming month is a.$0.1476$

Step-by-step solution

Given information

The probability that the San Jose Sharks will win any given game is $0.3694$based on a $13-year$win history of $382$wins out of $1,034$games played (as of a certain date).

An upcoming monthly schedule contains $12$games.

Explanation

$\begin{array}{r}P=0.3694\\ (1-P)=1-0.3694=0.6306\end{array}$

The upcoming month schedule contains$12$ games .$n=12$
We know that
Binomial Probability$P(X=x){=}^n{C}_{x}x{P}^{x}x(1-P{)}^{(n-x)}$

Probability that San Jose Sharks will win 6 games in the upcoming month. $=P(X=6)$
Here,
$n=12,x=6,P=0.3694,(1-P)=0.6306$
Then binomial probability

$\begin{array}{r}P(X=5){=}^{12}{C}_{6}x\left(0.3694{)}^{6}x\right(0.6306{)}^{(12-6)}\\ P(X=6)=924x\left(0.3694{)}^{6}x\right(0.6306{)}^{\left(6\right)}\\ P(X=6)=0.1476\end{array}$

The Probability that San Jose Sharks will win 5 games in the upcoming month is$0.1476$