Example 1.12I play a gambling game in which I will win k – 2 dollars with probability - for any k E N, that is,• with probability ,1 lose 1 dollar;• with probability , 1 win 0 dollar;• with probability I win 1 dollar;• with probability• with probability,I win 2 dollars;,I win 3 dollars;32'What is the probability that I win more than or equal to 1 dollar and less than 4 dollars? What is theprobability that I win more than 2 dollars?

Answered: Image /qna-images/answer/f7179170-1c5f-4af9-9f62-89309aafdc13.jpg

Answered: Example 1.12 I play a gambling game in…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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?
Example 1. Find the probability that a single card drawn from a shuffled deck of cards will be either a diamond or a king (or both). There are 52 different possible outcomes of the drawing; since the deck is shuffled, we assume all cards equally likely. Of the 52 cards, 16 are favorable (13 diamonds and the 3 other kings); therefore by (1.2) the desired probability is = B: 16
The chaper is Probability.
1. A class of 18 pupils consist of 11 girls, 4 of whom are left-handed, and 7 boys, only one of whom is left-handed. The two pupils are to be chosen at random from the class to act as monitors. Calculate the probabilities that the chosen pupils will consist ofa. One girl and One boyb. One girl who is left-handed and one boy who is left-handedc. Two left-handed pupils
NEED ANSWER ASAP
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
11. The probability that Adam goes to play basketball on any day is 3/3.3 5 a day when he plays basketball, the probability that Adam has burgers 3 is On the day he does not play basketball, the probability he has 8 burgers 3 11 (a) Find probability that Adam has burgers on any day. (b) Adam has burgers on that day. What is the probability he plays basketball? On (c) Determine whether the events play and does not play basketball mutually exclusive. (d) Determine whether the events play basketball and has burgers independent.
4. Teddy lives life on the edge and gets dressed randomly every morning. This morning, he is randomly choosing a pair of shoes, a pair of pants, and a shirt from his closet which contains the following colors and corresponding quantities: Shoes: black (2) and brown (3) Pants: black (3) and brown (1) Shirt: white (2), brown (4) and black (6) What is the probability that Teddy randomly chooses shoes, pants and a shirt of the same color? A. 1/5 В. 2/5 С. 120 A B C D D. 3/20
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
3. All of the morning math classes are filled & Lisa has a decision to take either Mrs. Fowler or Mr. Williams in the afternoon, what is the probability of Lisa taking a Mrs. Fowler or Mr. Williams in the afternoon? 4. Lisa's school counselor informs her all of Mrs. Fowlers classes are filled. The school adds another teacher Mrs. Jackson. She will teach (1ª, 3rd, 5th, and 6th). What is now the probability of getting Mrs. Jackson for math in the morning?
Dubrovsky sits down to a night of gambling with his fellow officers. cach time he stakes u roubles there is a probability r that he will win and receive back 2u roubles (including his stake). At the beginning of the night he has 8000 roubles. If ever he has 256 000 roubles he will marry the beautiful Natasha and retire to his estate in the country. Otherwise, he will commit suicide. He decides to follow one of two courses of action: (i) to stake 1000 roubles each time until the issue is decided; (ii) to stake everything each time until the issue is decided. Advise him (a) if r= 1/4 and (b) if r=3/4. What are the chances of a happy ending in cach case if he follows your advice?

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