Let's revisit *Statistical Scenario–Coins #1*, now with additional information on each of the possible outcomes. Table 4.1 summarizes this additional information. As noted, there are a total of different unique patterns of heads & tails possible when we flip a coin 10 times. For any given number of heads, as we have just seen, there are one or more ways to get that number of heads.

**Table 4.1** Coin flipping details.

#Heads | #Ways | Expected relative frequency | Probability | as Percent | Rounded |

0 | 1 | 1/1024 | 0.00098 | 0.098% | 0.1% |

1 | 10 | 10/1024 | 0.00977 | 0.977% | 1.0% |

2 | 45 | 45/1024 | 0.04395 | 4.395% | 4.4% |

3 | 120 | 120/1024 | 0.11719 | 11.719% | 11.7% |

4 | 210 | 210/1024 | 0.20508 | 20.508% | 20.5% |

5 | 252 | 252/1024 | 0.24609 | 24.609% | 24.6% |

6 | 210 | 210/1024 | 0.20508 | 20.508% | 20.5% |

7 | 120 | 120/1024 | 0.11719 | 11.719% | 11.7% |

8 | 45 | 45/1024 | 0.04395 | 4.395% | 4.4% |

9 | 10 | 10/1024 | 0.00977 | 0.977% | 1.0% |

10 | 1 | 1/1024 | 0.00098 | 0.098% | 0.1% |

Totals: | 1024 | 1024/1024 | 1.0 | 100% | 100% |

The #ways divided by 1024 gives us the expected relative frequency for that number of heads expressed as a fraction. For example, we expect to get 5 heads 252/1024^{ths} of the time. The fraction can also be expressed as a decimal value. This decimal value can be viewed as the probability that a certain number of heads will come up ...

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