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Chapter 4: Q11 (page 179)
Black Cars Use subjective probability to estimate the probability of randomly selecting a car and getting one that is black.
The estimated probability value that the randomly selected car is black is between 0.10 and 0.30.
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In Exercises 13鈥�20, express the indicated degree of likelihood as a probability value between 0 and 1.
SAT Test When making a random guess for an answer to a multiple-choice question on an SAT test, the possible answers are a, b, c, d, e, so there is 1 chance in 5 of being correct.
High Fives
a. Five 鈥渕athletes鈥� celebrate after solving a particularly challenging problem during competition. If each mathlete high fives each other mathlete exactly once, what is the total number of high fives?
b. If n mathletes shake hands with each other exactly once, what is the total number of handshakes?
c. How many different ways can five mathletes be seated at a round table? (Assume that if everyone moves to the right, the seating arrangement is the same.)
d. How many different ways can n mathletes be seated at a round table?
Denomination Effect. In Exercises 13鈥�16, use the data in the following table. In an experiment to study the effects of using a \(1 bill or a \)1 bill, college students were given either a \(1 bill or a \)1 bill and they could either keep the money or spend it on gum. The results are summarized in the table (based on data from 鈥淭he Denomination Effect,鈥� by Priya Raghubir and Joydeep Srivastava, Journal of Consumer Research, Vol. 36).
Purchased Gum | Kept the Money | |
Students Given A \(1 bill | 27 | 46 |
Students Given a \)1 bill | 12 | 34 |
Denomination Effect
a. Find the probability of randomly selecting a student who kept the money, given that the student was given four quarters.
b. Find the probability of randomly selecting a student who kept the money, given that the student was given a $1 bill.
c. What do the preceding results suggest?
In Exercises 13鈥�20, express the indicated degree of likelihood as a probability value between 0 and 1.
Square Peg Sydney Smith wrote in 鈥淥n the Conduct of the Understanding鈥� that it is impossible to fit a square peg in a round hole.
In Exercises 13鈥�20, express the indicated degree of likelihood as a probability value between 0 and 1.
Luggage Based on a Harris poll, if you randomly select a traveller, there is a 43% chance that his or her luggage is black.
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