The difference between Mistake and Stumble

When used as nouns, mistake means an error, whereas stumble means a fall, trip or substantial misstep.

When used as verbs, mistake means to understand wrongly, taking one thing or person for another, whereas stumble means to trip or fall.

check bellow for the other definitions of Mistake and Stumble

Mistake as a noun:

An error; a blunder.
Mistake as a noun (baseball):

A pitch which was intended to be pitched in a hard-to-hit location, but instead ends up in an easy-to-hit place.

Mistake as a verb (transitive):

To understand wrongly, taking one thing or person for another.

Examples:

"Sorry, I mistook you for my brother. You look very similar."
Mistake as a verb (transitive, obsolete):

To misunderstand (someone).
Mistake as a verb (intransitive, obsolete):

To commit an unintentional error; to do or think something wrong.
Mistake as a verb (obsolete, rare):

To take or choose wrongly.

Stumble as a verb (intransitive):

To trip or fall; to walk clumsily.

Examples:

"He stumbled over a rock."
Stumble as a verb (intransitive):

To make a mistake or have trouble.

Examples:

"I always stumble over verbs in Spanish."
Stumble as a verb (transitive):

To cause to stumble or trip.
Stumble as a verb (transitive, figurative):

To mislead; to confound; to cause to err or to fall.
Stumble as a verb:

To strike or happen (upon a person or thing) without design; to fall or light by chance; with on, upon, or against.