**Basic Probability Questions**

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State Space: A Penny, a Dime and a single Die are going to be tossed.

Q1. What is the Probability that Two Heads and an Odd Number will occur? |

Q2. What is the Probability that a Tail and a Head and a Number greater than 3 will occur? |

State Space: A desk of cards has 20 cards in it, numbered 1 through 20.

Q3. What is the Probability that a single card, drawn at random, over 13 will occur? |

Q4. What is the Probability that two cards, drawn at random, will add up to 11 will occur? |

State Space: A box contains two white socks, two black socks and two brown socks.

Q5. What is the Probability that two socks, drawn at random, will match? |

State Space: A group consists of 120 students. Of these, 60 are studying French, 50 are studying Spanish and 20 are studying French and Spanish. A student is selected at random.

Q6. What is the Probability that the student is studying French or Spanish? |

Q7. What is the Probability that the student is studying only French? |

Q8. What is the Probability that the student is studying neither French nor Spanish? |

**Conditional Probability Questions**

State Space: Let A and B be events where , and .

Q9. What is the Probability? |

Q10. What is the Probability? |

State Space: Let A and B be independent events where and .

Q11. What is the Probability? |

Q12. What is the Probability? |

Q13) State Space: A class of 30 students were surveyed about a certain Math Class. Survey results were as follows:

(a grade of passing is at least a D) | Homework is Too Easy | Homework is Just Right | Homework is Too Hard |

Students Getting at least a B | 2 | 4 | 1 |

Students Getting a C or a D | 6 | 10 | 2 |

Students Failing | 1 | 1 | 3 |

a. What is the Probability that a student, who is passing, thinks that the Homework is Just Right ? |

b. What is the Probability that a student, who is not getting an A or a B, thinks that the Homework is Too Hard? |

c. What is the Probability that a student, who thinks that the Homework is Too Hard, is passing the class? |

d. What is the Probability that a student, who thinks that the Homework is Too Easy, is not failing the class? |

**Applications of Probability**

An experiment has two possible outcomes A or B. The probability that A will occur is . You are going to perform this experiment eight times.

Q14. What is the probability that A will occur precisely six times? |

Q15. What is the probability that B will occur at least three times? |

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