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We are asked to apply the poker test to the given binary sequence with a significance level (\alpha = 0.05). Let’s solve it step by step manually. The poker test is a statistical test for randomness based on counting patterns in blocks of digits, usually of length 4 (like poker hands: all different, pairs, three of a kind, etc.). Step 1: Combine the sequence The full sequence is: ``` 100110100001000010111101101110100101101100100110 ``` Count the total number of bits: * First line: 25 bits * Second line: 23 bits * Total: 48 bits We will divide into blocks of 4 bits (common for the poker test). [ \text{Number of 4-bit blocks} = \frac{48}{4} = 12 \text{ blocks} ] Step 2: List all 4-bit blocks 1. 1001 2. 1010 3. 0001 4. 0000 5. 1011 6. 1101 7. 1011 8. 1010 9. 0101 10. 1011 11. 0010 12. 0110 Step 3: Classify each block Poker test categories (for 4-bit blocks): 1. All digits different → 4 different bits __________ _________ ___ ____ ___ ___ _____ ____ ______ ___.
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