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**Extra info for Probability and Statistical Inference, Global Edition**

**Example text**

F) What is the limit of this probability as n increases without bound? 3-10. A single card is drawn at random from each of six well-shuffled decks of playing cards. Let A be the event that all six cards drawn are different. (a) Find P(A). (b) Find the probability that at least two of the drawn cards match. 3-11. Consider the birthdays of the students in a class of size r. Assume that the year consists of 365 days. (a) How many different ordered samples of birthdays are possible (r in sample) allowing repetitions (with replacement)?

Let A1 and A2 be the events that a person is lefteye dominant or right-eye dominant respectively. When a person folds his or her hands, let B1 and B2 be the events that the right thumb and the left thumb, respectively, are on top. A survey in one statistics class yielded the following table: B1 B2 Totals A1 10 15 25 A2 25 10 35 Totals 35 25 60 If a student is selected randomly, find the following probabilities: (a) P(A2 ∩ B1 ), (b) P(A2 ∪ B1 ), (c) P(A2 |B1 ), (d) P(B2 |A1 ). (e) If the students had their hands folded and you hoped to select a left-eye-dominant student, would you select a “right thumb on top” or a “left thumb on top” student?

An urn contains 17 balls marked LOSE and 3 balls marked WIN. You and an opponent take turns selecting a single ball at random from the urn without replacement. July 16, 2014 M01_HOGG2358_09_GE_C01 page 36 36 Chapter 1 Probability The person who selects the third WIN ball wins the game. It does not matter who selected the first two WIN balls. (a) If you draw first, find the probability that you win the game on your second draw. (b) If you draw first, find the probability that your opponent wins the game on his second draw.