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Home » Probability of rolling a non-prime: $\frac12$ - Abu Waleed Tea

Probability of rolling a non-prime: $\frac12$ - Abu Waleed Tea

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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|z + w|^2 = |z|^2 + |w|^2 + 2 \operatorname{Re}(z \overline{w})
Compute $ |z + w|^2 $:
z + w = 4 + 2i \Rightarrow |z + w|^2 = 4^2 + 2^2 = 16 + 4 = 20
Now use the identity:
= |z|^2 + |w|^2 + 2 \operatorname{Re}(z \overline{w}) = 26 + 2 \cdot 5...
Wait â correction:
From identity:
Substitute known values:
= 26 + 2 \operatorname{Re}(z \overline{w}) \Rightarrow 2 \operatorname...
But this contradicts $ \operatorname{Re}(z \overline{w}) = 5 $ from (2...

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