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Chapter 5: Q 1.2. Intercepts; Symmetry; Graphing Key Equations (page 303)
Say in plain language what the event?
occurrence and probability.
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Nickels falling over You may feel it鈥檚 obvious that the probability of a head tossing a coin is aboutbecause the coin has two faces. Such opinions are not always correct. Stand a nickel on the edge on a hard, flat surface. Pound the surface with your hand so that the nickel falls over. Do this time, and record the results.
(a) What鈥檚 your estimate for the probability that the
coin falls heads up? Why?
(b) Explain how you could get an even better estimate.
You read in a book about bridge that the probability that each of the four players is dealt exactly one ace is about This means that (a) in every bridge deals, each player has one ace exactly times.
(b) in one million bridge deals, the number of deals on which each player has one ace will be exactly
(c) in a very large number of bridge deals, the percent of deals on which each player has one ace will be very close to
(d) in a very large number of bridge deals, the average number of aces in a hand will be very close to
(e) None of these
Color-blind men Refer to Exercise . Suppose we randomly select U.S. adult males. What鈥檚 the probability that at least one of them is red-green
color-blind? Design and carry out a simulation to answer this question. Follow the four-step process.
Late flights An airline reports that 85% of its flights arrive on time. To find the probability that its next four flights into LaGuardia Airport all arrive on time, can
we multiply (0.85)(0.85)(0.85)(0.85)? Why or why not?
Role-playing games Computer games in which the players take the roles of characters are very popular. They go back to earlier tabletop games such as Dungeons & Dragons. These games use many different types of dice. A four-sided die has faces with and spots.
(a) List the sample space for rolling the die twice (spots showing on first and second rolls).
(b) What is the assignment of probabilities to outcomes in this sample space? Assume that the die is perfectly balanced.
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