Agambling book recommends the following "winning strategy"for the
game of roulette. it recommends that a gambler bet $1 onred. if red
appears (which has probablity 18/38), then the gamblershould take
her $1 profit and quit. if the gambler loses this bet(which has
probablity 20/38 of occurring), she should makeadditional $1 bets
on red on each of the next two spins of theroulette wheel and then
quite. let x denote the gambler's winningswhen she quites.

(a) find p{x > 0}.

(b) are you concinved that the strategy is indeed a
"winning"strategy? explain your answer.

(c) find e[x].

Describe all the numbers that when rounded to the nearest thousand are 645,000

Quick! a survey of 57 customers was taken at a bookstore regarding the types of books purchased. the survey found that 33 customers purchased mysteries, 25 purchased science fiction, 18 purchased romance novels, 12 purchased mysteries and science fiction, 9 purchased mysteries and romance novels, 6 purchased science fiction and romance novels, and 2 purchased all three types of books. a) how many of the customers surveyed purchased only mysteries? b) how many purchased mysteries and science fiction, but not romance novels? c) how many purchased mysteries or science fiction? d) how many purchased mysteries or science fiction, but not romance novels? e) how many purchased exactly two types of books?

How do the definitions, properties, and postulates you've learned about line segments, parallel lines, and angles to define the shapes of polygons