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Home » Save Big on PS Plus Subscriptions—Today’s Pricing is Unbeatable! - Londonproperty

Save Big on PS Plus Subscriptions—Today’s Pricing is Unbeatable! - Londonproperty

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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📌 Probability of rolling a non-prime: $\frac{1}{2}$

📌 We want exactly two dice to show a prime. The number of ways to choose which two of the three dice show primes is $\binom{3}{2} = 3$.

📌 For each such choice:

📌 Probability for two primes: $\left(\frac{1}{2}\right)^2 = \frac{1}{4}$

📌 Probability for one non-prime: $\frac{1}{2}$

📌 So, probability for each configuration is $\frac{1}{4} \times \frac{1}{2} = \frac{1}{8}$

📌 \times \frac{1}{8} = \frac{3}{8}

📌 Thus, the probability is $\boxed{\dfrac{3}{8}}$.

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#### 627,200Question: Let $ a $ and $ b $ be positive real numbers suc...
We are given:
\frac{a}{b} + \frac{b}{a} = 5
Let $ x = \frac{a}{b} $. Then $ \frac{b}{a} = \frac{1}{x} $, so:
x + \frac{1}{x} = 5
We want to compute:
\frac{a^2 + b^2}{a^2 - b^2} + \frac{a^2 - b^2}{a^2 + b^2}
Note that:

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