Table 3:

a^{n}b^{n}c^{n}
. | Unit 8 . | Unit 9 . | Unit 4 . | Unit 5 . | Unit 6 . | Unit 7 . |
---|---|---|---|---|---|---|

. | . | . | P(#
. ) | P(a
. ) | P(b
. ) | P(c
. ) |

Initial # | 1 | $\u221213$ | $\u221213$ | 1 | 0 | σ(− 15 ) |

0 | ∼1 | 0 | ∼0 | |||

k^{th} a | 1 − k | $\u2212k+13$ | $\u2212k+13$ | $73$ | 1 | σ(− 15 ) |

∼0 | ∼.7 | ∼.3 | ∼0 | |||

k^{th} b | k + 1 − n | $\u2212k+n+13$ | $\u2212k+n+13$ | 0 | 1 | σ(− 15 ) |

k < n | 0 | 0 | ∼1 | ∼0 | ||

n^{th} b | 1 | $\u22122n+13$ | $\u22122n+13$ | 0 | 0 | σ(− 15 ) |

0 | 0 | 0 | 1 | |||

k^{th} c | 1 + k | $2k\u22122n\u221213$ | $2(k+1\u2212n)3$ | 0 | 0 | σ(− 15 ) |

k < n | 0 | 0 | 0 | 1 | ||

n^{th} c | 1 + n | $\u221213$ | $23$ | 0 | 0 | σ(− 15 ) |

∼1 | 0 | 0 | ∼0 |

a^{n}b^{n}c^{n}
. | Unit 8 . | Unit 9 . | Unit 4 . | Unit 5 . | Unit 6 . | Unit 7 . |
---|---|---|---|---|---|---|

. | . | . | P(#
. ) | P(a
. ) | P(b
. ) | P(c
. ) |

Initial # | 1 | $\u221213$ | $\u221213$ | 1 | 0 | σ(− 15 ) |

0 | ∼1 | 0 | ∼0 | |||

k^{th} a | 1 − k | $\u2212k+13$ | $\u2212k+13$ | $73$ | 1 | σ(− 15 ) |

∼0 | ∼.7 | ∼.3 | ∼0 | |||

k^{th} b | k + 1 − n | $\u2212k+n+13$ | $\u2212k+n+13$ | 0 | 1 | σ(− 15 ) |

k < n | 0 | 0 | ∼1 | ∼0 | ||

n^{th} b | 1 | $\u22122n+13$ | $\u22122n+13$ | 0 | 0 | σ(− 15 ) |

0 | 0 | 0 | 1 | |||

k^{th} c | 1 + k | $2k\u22122n\u221213$ | $2(k+1\u2212n)3$ | 0 | 0 | σ(− 15 ) |

k < n | 0 | 0 | 0 | 1 | ||

n^{th} c | 1 + n | $\u221213$ | $23$ | 0 | 0 | σ(− 15 ) |

∼1 | 0 | 0 | ∼0 |

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