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Home » Golden Joystick Awards 2025: The Ultimate Joystick Hero You Need to Celebrate! - Appcentric

Golden Joystick Awards 2025: The Ultimate Joystick Hero You Need to Celebrate! - Appcentric

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📝 Recent Posts

We compute the probability that in 5 rolls of a fair six-sided die, ex...
Step 1: Total possible outcomes:
6^5 = 7776
Step 2: Count favorable outcomes — sequences of 5 rolls using exactly...
Choose 2 distinct values from 6: \(\binom{6}{2} = 15\)
For each pair (say \(a, b\)), count the number of 5-length sequences u...
Number of binary sequences of length 5 with two values: \(2^5 = 32\)
Subtract 2 constant sequences → \(30\)
So for each pair, 30 valid sequences.
Total favorable: \(15 \times 30 = 450\)

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