# Probability Assignment | Homework Help Websites

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?

 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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