xa2 2022.pdf2 / 2 1-statistics - Probability X110% +GA treasure chest con xF3 supplies 50% of the chips to the tech company. Suppose quality control selects a chip at random and it is defective. Whatis the probability the chip came from factory F₂?8. A treasure chest contains 25 gold coins and 15 silver coins. Two are chosen at random one after the other, without replace-ment (ie, once you take the first one out, there are now 39 coins in the chest).(a) Use a tree diagram to help calculate the following probabilities:• the probability that both coins are gold• the probability that the first coin is gold and second is notthe probability that the first coin is silver and the second is goldthe probability that neither coin is gold(b) What is the probability that the second coin is gold?(c) What is the probability that exactly one coin is gold?C(50) A treasure chest X +9. If E and F are independent events, are E and F independent? Justify your answer.10. A bag contains five balls numbered 1, 2, 2, 8 and 8. If three balls are selected at random (without replacement) what is theexpected value of the sum of the numbers on the balls.11. A student is trying to pass calculus. She will stop trying if she pass the course or after three attempts. The probability ofpassing the course in one attempt is. You may assume these atterats are independent. Determine the probability that thestudent will pass calculus. HINT: If you got 99.9% you are too kind to the student.12. Consider the following casino game. A person pays $1 to play. The person tosses a fair coin 4 times.• If no heads occur, the player must pay an additional $2.• If one head occurs, the player must pay an additional $1.• If two heads occur the player just looses their initial $1 paid.• If three heads occur the player wins $3.

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Answered: 8. A treasure chest contains 25 gold…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Assume that there are 16 frozen dinners: 9 pasta, 3 chicken, and 4 seafood dinners. The student selects 5 of them. What is the probability that at least 2 of the dinners selected are pasta dinners?
A bag contains 11 Blue balls, 9 Red balls, and 10 Green balls. Two balls are going to be drawn from the bag (one at a time) and then returned to the bag before the next is drawn. Let event B = blue ball chosen, R = Red ball chosen, and G- Green ball chosen. What is the probability the first is blue and the second is red? What is P(B and then R)? Write an answer to 4 decimal places.
A bag contains 10 Blue balls, 10 Red balls, and 9 Green balls. Two balls are going to be drawn from the bag (one at a time) and then put to the side (they are not returned to the bag). Let event B blue ball chosen, R = Red ball chosen, and G- Green ball chosen. What is the probability they are both red? What is P(R and R)? Write an answer to 4 decimal places.
A sandwich shop has 5 types of bread, 4 types of cheese, and 3 types of ham. The shop has a pre-made ham and cheese sandwich. What is the probability that a randomly made sandwich has the types of bread, cheese, and ham that you want?
Debi sells eggs at a farmer's market. She sells the eggs by the dozen, and most of the eggs are large white eggs but she also has some small brown eggs. If there is one small brown egg in every 3 dozen eggs, and Debi sells 20 dozen eggs, what is the probability that an eg chosen at random from the eggs that she sells is a sma brown egg?
A box contains 3 red and 4 blue marbles. Two marbles are drawn at a time, without replacement. Use a probability tree to answer the following questions: a. Find the probability that both marbles drawn are red. b. Find the probability that the first marble drawn was blue, given that the second was red. Thank you!
A deck consists of playing cards that can have one of 16 suits and one of 5 ranks. A hand is a set of five cards randomly selected from the deck. How many hands are a four of a kind (four cards with the same rank but different suits, and a fifth card that is a different rank from the other four)? What is the probability of the hand being a four of a kind?
Milo will be having a sports camp next summer. 1 of the Coaches is Coach Mark and he will be handling basketball and volleyball clinics. He has 20 basketball balls and 15 volleyball balls. What is the probability that Coach Mark will get exactly 1 volleyball ball if Coach Mark take 4 balls at random?
24% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and ask each to name the reason he or she uses credit cards. Find the probability that the number of college students who say they use credit cards because of the rewards program is (a) exactly two, (b) more than two, and (c) between two and five inclusive. If convenient, use technology to find the probabilities.
b. In oil exploration, the probability of an oil strike in the North Sea is 1 in 500 drillings. What is the probabilities of having exactly 3 oil producing wells in 1000 explorations? at most 2 oil producing wells in 800 drillings? Question-5
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