what are the free web hosting and blogging service providers/services that allow monetization ( eg: google adsense)

For blogging you can use blogger.com it is free with adsence.But as far as web hosting is concern there are lot of site that offer free web hosting but without ad .one such is freehosting.com

ok.. if free hosting is not possible,what are the free blogging and good ones, providers that allow monetization ( eg: google adsense)?

you can use Blogger.com it is free and you can use google adsence,

As i told there are lot of free hosting avilable, but in free hosting you are not able to use google adsence or other add:

Is any expert available on Experts-exchange?

There are many free web hosting platforms for you to host your website which you can use  Google Adsence also but you need to share your revenue with the hosting platform service providers.

https://www.webnots.com/google-adsense-revenue-sharing-sites/

The problem with anything free is you don't have total control. But as pointed out, you can use https://www.blogger.com/about/ for free.

Get paid for your hard work. Google AdSense can automatically display relevant targeted ads on your blog so that you can earn income by posting about your passion.

https://www.tumblr.com is another option.  Note their terms,

[b]The Services change frequently,[/b] and their form and functionality may change without prior notice to you. Tumblr retains the right to create limits on and related to use of the Services in its sole discretion at any time with or [b]without notice[/b]. 

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The problem with anything free is you don't have total control. But as pointed out, you can use https://www.blogger.com/about/ for free.

Get paid for your hard work. Google AdSense can automatically display relevant targeted ads on your blog so that you can earn income by posting about your passion.

https://www.tumblr.com is another option.  Note their terms,

The Services change frequently, and their form and functionality may change without prior notice to you. Tumblr retains the right to create limits on and related to use of the Services in its sole discretion at any time with or without notice.

I would look towards https://www.wix.com/, https://www.weebly.com/,  https://www.squarespace.com/ or even https://wordpress.com/.

All of these solutions offer low cost (not free) options for a do it yourself blog that you can add your google adsense code to.

The most important thing in monetizing your site is getting a lot of viewers. And that means having a lot of good content. You want something that is easy to generate your pages and content and not worry about something changing.  Paying $10 to $30 per month is a very small investment.

Good luck!