# Probability-Bayes' Theorem and Applications [ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)]: Questions 1 - 3 of 5

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## Question number: 1

» Probability » Bayes' Theorem and Applications

### Question

A is known to tell the truth in 3 cases out of 8 and he states that a white ball was drawn from a bag containing 6 blacks and 2 white ball. Find the probability that the white ball was drawn.

### Choices

Choice (4) | Response | |
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a. |
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b. |
| |

c. |
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d. | None of the above |

## Question number: 2

» Probability » Bayes' Theorem and Applications

### Question

Most (70%) of the taxis in Rajkot are green, with the rest (30%) being yellow. In a traffic accident involving a hit-and-run taxi, a witness claims the taxi was yellow. Careful testing shows that the witness can successfully identify the color of a taxi only 75 % of the time due to bad eyesight. On the balance of probabilities, should we hold Yellow Taxi Company liable?

### Choices

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

a. | Information insufficient. | |

b. | Yellow taxi Company should be held liable. | |

c. | Can’t make any claim. | |

d. | Yellow taxi Company should not be held liable. |

## Question number: 3

» Probability » Bayes' Theorem and Applications

### Question

Suppose a man have two bags each containing black and white balls. One bag contains three times as many white balls as blacks. The other bag contains three times as many black balls as white. Suppose he choose one of these bags at random. From that bag he select five balls at random, replacing each ball after it has been selected. He found 4 white balls and one black in the result. What is the probability that he was using the bag with mainly white balls?

### Choices

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

a. |
| |

b. |
| |

c. |
| |

d. | None of the above |