When rolling a single number cube, what are the odds, in simplest form, in favor of rolling a 2 or a 3?
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If 101 is given in base <em>b</em>, then in base 10 you have
For instance, if <em>b</em> = 2, then
101₂ = 2² + 1 = 5₁₀
If <em>b</em> = 3, then
101₃ = 3² + 1 = 9₁₀
If <em>b</em> = 4, then
101₄ = 4² + 1 = 17₁₀
The answer depends entirely on the base of the given number.