# Probability-Borel 0-1 Law (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 1 - 3 of 3

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## Question number: 1

» Probability » Borel 0-1 Law

### Question

For each independent sequence of events , we have________

### Choices

Choice (4) | Response | |
---|---|---|

a. |
| |

b. |
| |

c. | Both a. and b. are correct | |

d. | None of the above |

## Question number: 2

» Probability » Borel 0-1 Law

### Question

Suppose are independent events with where . If then, which of the following is correct?

### Choices

Choice (4) | Response | |
---|---|---|

a. | a. s | |

b. | a. s | |

c. | does not converge. | |

d. | in probability. |

## Question number: 3

» Probability » Borel 0-1 Law

### Question

Let be independent and equidistributed. Then which of the following is correct regarding ?

### Choices

Choice (4) | Response | |
---|---|---|

a. | If are infinite then will be larger than infinitely many times with probability 0. | |

b. | If are finite then will be larger than infinitely many times with probability 1. | |

c. | None of the above | |

d. | Question does not provide sufficient data or is vague |