On your first draw, what is the probability of drawing a red card, without looking, from a shuffled

On your first draw, what is the probability of drawing a red card, without looking, from a shuffled deck containing 6 red cards, 6 blue cards, and 8 black cards?

P(Red) = Total Red / Total Cards
P(Red) = 6 red/(6 red + 6 blue + 8 black)
P(Red) = 6/20

This fraction can be simplified.

The greatest common factor of 6 and 20 is 2.

So we divide top and bottom of our probability by 2:
P(Red) = 6/2 / 20 / 2
P(Red) = 3/10