I am trying to learn how to calculate probability through a distribution based off a series of numbers.

Let me explain.

My favorite baseball team, the Seattle Mariners, has seven upcoming games against subpar opponents (shown below with the win likelihood of each game). I am trying to figure out the statistic probability of each scenario in this seven game stretch based if the win probability assigned to individual games.

Seattle Mariners next seven games chance of winning (borrowed from the 538 blog):

Game one: 58%

Game two: 61%

Game three: 59%

Game four: 56%

Game five: 68%

Game six: 68%

Game seven: 70%

Possible out comes:

(Wins/losses)

0-7

1-6

2-5

3-4

4-3

5-2

6-1

7-0

So how do I calculate the probability of each scenario based on the data above?

If this is an easy one to figure out, please let me know how to crunch these numbers. Or provide a link to a generator or calculator if you’re using one.

Just eyeballing them, it’s clear that extremes on each end are unlikely, but I’d love to see the distribution of probability.

This is just for fun. Thanks!