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Chapter 2: Problem 105
A penny is to be tossed 3 times. What is the probability there will be 2 heads and 1 tail?
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Suppose a die has been loaded so that the \([\cdot]\) face lands uppermost 3 times as often as any other face while all the other faces occur equally often. What is the probability of a \([\cdot]\) on a single toss" What is the probability of a \([\cdot]\) ?
What is the probability of throwing a "six" with a single die?
There are two roads between towns \(\mathrm{A}\) and \(\mathrm{B}\). There are three roads between towns \(\mathrm{B}\) and \(\mathrm{C}\). How many different routes may one travel between towns \(\mathrm{A}\) and \(\mathrm{C}\).
Find the probability that three successive face cards are drawn in three successive draws (without replacement) from a deck of cards. Define Events \(\mathrm{A}, \mathrm{B}\), and \(\mathrm{C}\) as follows: Event A: a face card is drawn on the first draw, Event B: a face card is drawn on the second draw. Event \(C\) : a face card is drawn on the third draw.
In how many ways may a party of four women and four men be seated at a round table if the women and men are to occupy alternate seats?
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