Example 1.12 I play a gambling game in which I will win k – 2 dollars with probability for any k e N, that is, • with probability.I lose 1 dollar; • with probability .I win 0 dollar; • with probability • with probability T5, I win 2 dollars; • with probability I win 1 dollar; ,I win 3 dollars; What is the probability that I win more than or equal to 1 dollar and less than 4 dollars? What is the probability that win more than 2 dollars?

1 If P(A) is the probability that event A will occur, then the probability that A will not occur is? 2 If the probability of obtaining a 3 on a six-sided die is 0.167, what is the probability of obtaining any number but a 3? .3 If A and B are two mutually exclusive events, then the probability that either event A or event B will occur is the sum of their respective probabilities. ..4 If event A and event B are not mutually exclusive, then the probability of either event A or event B or both is given by?

7. A drawer contains 6 black socks, 4 brown socks, and 2 green socks. Suppose one sock is drawn from the drawer and that it is equally likely that any one of the socks is drawn. Find the probabilities for each of the following: a. The sock is brown b. The sock is either black or green c. The sock is red d. The sock is not black

5. A commuter must pass through 4 different traffic lights on her way to work and will have to stop at each one that is red. She estimates the probability model for the number of red lights she hits, as shown below.X  P(X) 0   0.05 1     0.25 2    0.35 3    0.20 4   0.15a. What is the probability she is stopped one time on her way to work?b. What is the probability she is stopped at least two times on her way to work