Which amendment states that individuals cannot be denied the right to vote based on race?

The 15th amendment is the correct choice because it explicitly states that the right to vote cannot be denied or abridged by the United States or by any state on account of race, color, or previous condition of servitude. Ratified in 1870, this amendment was part of the Reconstruction Era legislation aimed at securing voting rights for formerly enslaved individuals following the Civil War.

The other amendments listed focus on different aspects of voting rights. The 19th amendment grants women the right to vote, addressing gender discrimination in voting. The 26th amendment lowers the voting age to 18, ensuring that younger citizens can participate in elections. The 14th amendment, while important for establishing citizenship and equal protection under the law, does not specifically address voting rights in relation to race. Thus, the 15th amendment is the specific constitutional provision that protects against racial discrimination in voting.