Decker Jig

I purchased some drill bits for my new Black and Decker battery powered drill. How do I attach them?

I understand how to attach the two that came with the drill. But I purchased a screwdriver and drilling set (Black and Decker) and there are all these different sizes of bits, but the ends are very skinny….way too small for my drill. I found a hex thingy-ma-jig in the kit that has the proper end to go into my drill. But, how the heck does the drill bit get attached to the hex? The bit end is very skinny. Now, the screwdriver bits fit just fine into the hex. What am I missing here?
Thanks for any help!
This is my first drill!!

i have some black and decker small drill bits and they fit just fine in the drill. they are skinny also and i thought they would not fit. when i tightened the drill they were just fine.

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