Suppose a couple has four children. Assume that each child is equally likely to be a boy or a girl, regardless of the outcome of previous births. The following table shows the results of a simulation to determine the gender breakdown in 20 families.

Number of girls | 0 | 1 | 2 | 3 | 4 |

Probability | 2/20 =0.1 | 4/20= 0.2 | 6/20 = 0.3 | 5/20 = 0.25 | 3/20 = 0.15 |

**a. **Based on the simulation results, which is more likely, a 2:2 split of boys and girls or a 3:1 split in either direction? **b. **Write out the sample space and calculate the exact probabilities for the various possible gender breakdowns.

Enter the exact answer as a decimal.

Number of girls | 0 | 1 | 2 | 3 | 4 |

Probability |

**c. **Reanswer part **a.** using exact probabilities.

A split is more likely with a probability of .

Subject | Mathematics |

Due By (Pacific Time) | 09/23/2015 02:14 am |

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