statistics
ENTC 4037/5037
Homework 4 Due on 10/23/2017
60
1. Find the probability of tossing 3 coins simultaneously and getting 2 or more heads?
2. Find the probability of rolling 3 dies and get summation of 12?
3. There are 4 blue marbles, 5 red marbles, 1 green marble, and 2 black marbles in a bag. What is the probability of selecting a blue or black marble?
4. There are 4 blue marbles, 5 red marbles, 1 green marble, and 2 black marbles in a bag. What is the probability of not selecting a red marble?
5. A jar contains 25 red balls, 9 yellow balls, 7 green balls and 3 white balls. What is the probability that you draw and replace balls 3 times and you get at least 1 red?
6. A jar contains 25 red balls, 9 yellow balls, 7 green balls and 3 white balls. What is the probability that you draw and replace balls 3 times and you get no yellow balls?
7. A jar contains 25 red balls, 9 yellow balls, 7 green balls and 3 white balls. You draw balls 2 times and don’t replace it back to the jar. What is the probability that you get a white ball and then a red ball?
8. A jar contains 25 red balls, 9 yellow balls, 7 green balls and 3 white balls. You draw balls 3 times and don’t replace it back to the jar. What is the probability that you get a white ball and then a yellow ball and finally a green ball?
9. Mr. Mike surveyed a representative sample of students from grades 6, 7, and 8 to find out what their three favorite sports were at school. He collected 80 surveys and found that football was chosen as a favorite sport by 60 students. Basketball was chosen as a favorite by 40 students. And tennis was the next top favorite with 20 votes. Mr. Mike wants to know the likelihood of a student choosing football, basketball, and tennis as their favorite sports.
10. Out of 100 students at Riverview Middle School, 50 enjoy swimming. Out of the same 100 students, 25 enjoy golf. What is the probability that a student would enjoy swimming and golf?
11. Out of 100 students at Riverview Middle School, 50 enjoy swimming. Out of the same 100 students, 25 enjoy golf and 12 students enjoy both. What is the probability that a student would enjoy neither swimming nor golf?
12. If 4 out of 12 students like Math class the best and 5 out of the students like Physics class the best, what is the probability that a student selected at random from the class will enjoy Math the best?
13. A clothes dryer contains 4 black socks and 2 white socks. What is the probability of taking two socks out of the dryer one after another (without replacement) and having them both be black?
14. Bob bought two theater box tickets. The computer randomly assigns the tickets in one of 5 seats: end seat A, middle seat B, middle seat C, middle seat D, or end seat E. What is the probability that the first ticket is A and the second ticket is seat B?