What color do red and white make?
Red and White make pink.

Red and White make pink, #ffbfbf. That is the result in equal parts, mixing pigment rather than light - paint, ink and dye all behave this way.
Equal parts red and white · #ffbfbf
Change the ratio
Very little of a mix is ever half and half. Shifting the balance moves the result along the range between the two colours.
3 parts red, 1 part white · #ff6060
Equal parts · #ffbfbf
1 part red, 3 parts white · #ffd9d9
Lighter and darker
With white added - a tint · #ffd9d9
With black added - a shade · #994d4d
Why it works
Adding white to red makes a tint. The hue does not change - only its lightness does, which is why you get pink rather than a different colour altogether. Keep adding white and it keeps moving towards plain white.
Frequently asked questions
What color do red and white make?
Red and White make pink, #ffbfbf. Mixed in equal parts that is the result you get with paint, ink or any other pigment.
How do I make the result lighter or darker?
Add white for a tint - here that gives pink. Add black for a shade, which gives brown. Add white a little at a time, because it takes far less than people expect to shift a mix.
What happens if I use more red than white?
Three parts red to one part white gives coral. Reversing it to one part red and three parts white gives pink instead.
Does this work the same way on a screen?
No. Screens mix light additively, so red and green light make yellow there. These results are subtractive - paint, ink, dye and pigment - which is what people mean when they ask what two colours make.