- CFA Exams
- CFA Level I Exam
- Topic 1. Quantitative Methods
- Learning Module 3. Probability Concepts
- Subject 4. Multiplication Rule for Independent Events

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**CFA Practice Question**

Affirmative action commitments by industrial organizations have led to an increase in the number of women in executive positions. Satellite Office Systems has vacancies for two executives, which it will fill from among four women and six men. What is the probability that two woman are selected?

A. 3/5

B. 3/4

C. 2/15

**Explanation:**Probability of both positions being filled by women = 4/10*3/9 = 12/90

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**User Contributed Comments**
7

User |
Comment |
---|---|

mc25456 |
sorry. 4C2/10C2. |

gene80 |
I looked at the rest of the multiple choices had >.5 probabiliy of putting 2 ladies forward as executives when they are already the minority. Hence it seems logical to pick C. |

azramirza |
4/10*3/9 |

arendb |
Pardon my ignorance, but where is the 3/9 coming from? |

far1080 |
probability of first female = 4/10 now there is one less female and one less person overall to select therefore probability of second female is 3/9 |

NickGerli |
Yeah, I didn't make the 3/9 intuition, but there is no way A and B could be accurate so I went with C. |

ascruggs92 |
I just knew it couldn't be the other two. Glad to know the affirmative action info is just meant to distract |