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Probability questions
1. Three fair dice are rolled. What is the probability that the sum of the three outcomes is 10 given that the three dice show di?erent outcomes?
2. A bag contains four balls. One is blue, one is white and two are red. Someone draws together two balls at random from the bag. He looks at the balls and tells you that there is a red ball among the two balls drawn out. What is the probability the other ball drawn out is also red?
3. A fair coin is tossed n times. What is the probability of heads on the ?rst toss given that r heads were obtained in the n tosses?
4. A hand of 13 cards is dealt from a standard deck of 52 cards. What is the probability that it contains more aces than tens? How does this probability change when you have the information that the hand contains at least one ace?
the perimeter of a basketball court is 294 ft. The length is 43 ft longer than the width. Find the dimensions of the court.
What are the ingredients of a Mathematical Model and What is a model?
A company claims that its battery has a mean life of 65 months. A consumer protection agency tested 15 batteries and found the mean 63 months with a standard deviation of 2 months. The life such a battery has approximately normal distribution. Ass..
the quadratic equation has a portion known as the discriminate. what is the discriminate? what is it used for and what
Use the simplex method to determine the optimal production schedule so as to maximize profits. Show that the geometric method gives the same solution.
A student thinks of a polynomial p(x) of arbitrary degree, and non-negative integer coefficients. How can you determine the student's polynomial by asking for two values of her polynomial
In a study of worker efficiency at Wong Laboratories it was found that the number of components assembled per hour by the average worker t hours after starting work could be modeled by the formula.
Write the area of the triangle
A heavy rope, 60 ft long, weighs 0.7 lb/ft and hangs over the edge of a building 150 ft high.
ght rooks are placed in distinct squares of an 8x8 chessboard, with all possible placements being equally likely. What is the probability that all rooks are safe from one another? (that there is no row or column that contains more than 1 rook)
macys department stores accepts several credit cards. the chief operating officer of macys is interested in finding out
Mrs.blair will select a president and Vice President from a group of 8 members. How many different ways can a president and Vice President be chosen from the group
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