While Loop Works with || but not &&, Not Understanding Why?

Question

The program's goal is to roll two dice until both of them equal 6. When I used && in the while statement it stops after one dice equals 6. Why is that? Shouldn't && test the first condition then if it is correct test the second?

while ((diceOne != 6) || (diceTwo != 6)) {
    diceOne = numberGeneration.Next(1, 7);
    diceTwo = numberGeneration.Next(1, 7);
    attempt = ++attempt;

    Console.WriteLine("Your first dice is: " + diceOne + " your second dice is: " + diceTwo);
    Console.WriteLine("Press any button to continue");
    Console.ReadKey();

}

Console.WriteLine("It took you " + attempt);
Console.WriteLine("Press any key to continue");
Console.ReadKey();

Answer 1

It stops because you break the condition of one dice being different from 6.

while ((diceOne != 6) && (diceTwo != 6))

While will execute while both conditions are true.

Answer 2

I agree with @Pedro, also you can use break statement in the while(true) loop and stop the loop when both of dices are equal to 6:

while (true) {
    diceOne = numberGeneration.Next(1, 7);
    diceTwo = numberGeneration.Next(1, 7);
    attempt = ++attempt;

    Console.WriteLine("Your first dice is: " + diceOne + " your second dice is: " + diceTwo);
    Console.WriteLine("Press any button to continue");
    Console.ReadKey();
    if (diceOne == 6 && diceTwo == 6) break;

}

Console.WriteLine("It took you " + attempt);
Console.WriteLine("Press any key to continue");
Console.ReadKey();

Answer 3

Note that the while loop condition is the necessary and sufficient condition to continue the loop. (diceOne != 6) && (diceTwo != 6)) says that "both dice are not 6". When both dice are not 6, you certainly want to continue the loop, so it's a sufficient condition, but this is not a necessary condition. When else would you want to continue the loop? When one dice is 6 and one dice isn't!

The necessary and sufficient condition to continue the loop is that at least one dice is not 6, which is what the || expresses.