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If you would like your SharePoint subsite to have different permissions than it's parent site, follow these instructions.
How to Assign Subsite Permissions in SharePoint
- Navigate to the subsite you would like to change permissions for and click on the Settings Menu (Gear icon), and then click on Site Settings.

- Under the Users and Permissions heading, click on Site Permissions.

- From the Permissions tab, select either Stop Inheriting Permissions or Grant Permissions.
Stop Inheriting Permissions: Will allow you to clear all current permissions and establish new permissions from scratch
Grant Permissions: Will allow you to add onto the existing permission of the site.

- Once you have set your preferred permissions, navigate back to the subsite. All new permissions should be in place.