Question 5 A box contains balls numbered 1, .,.,a. A ball is drawn at random: (a)...
There are balls numbered 1, 2, 3, 4, 5, 6, 7 in a box, 2 balls are drawn in succession at random without replacement, and the number on each ball is noted. What is the probability that exactly one ball has an even number? (A) 3/14 (B) 2/7 (C) 3/7 (D) 12/49 (E) 4/7
1. An urn contains balls numbered 1 through 7. A ball is drawn and replaced, and a second ball is drawn. a) How many outcomes are in the sample space? 7 different outcomes b) Describe the outcome "ball number 3 is drawn, then ball number 7 is drawn." a) How many outcomes are in the sample space? There is/are 7 differ Butcome(s) in the sample space. (Simplify your answer.) b) Describe the outcome "ball number 3 is drawn, then ball...
QUESTION 6 A bucket contains 4 red balls that are numbered 1. 2. 3. 4. It also contains 6 black balls that are numbered 5. 6. 7. 8. 9. 10. Two balls are drawn from the budete at a time, without replacement. Use this information to answer the following probability questions Express answers as fractions, or round decimal answers to 4 decimal places What is the probability that the first ball is even and the second bail is odd? b....
Question 29 (4 points) Two boxes each contain five numbered balls: • Box 1 contains balls with numbers 3, 3, 3, 4, 5 • Box 2 contains balls with numbers 1, 1, 2, 2, 2 (a) You will randomly select one ball from each box. Let X be the difference between the numbers selected from the first and second box. Find the probability distribution of X. You can simply list the probabilities for each possible value of X instead of...
An urn contains 8 balls numbered 1-8 and a ball is randomly drawn from the urn. Let A = “Ball number 2, 4 or 6 is chosen” and let B = “Ball number 3,4,5,6 or 7 is chosen”. Calculate the following probabilities: a)P(A) b) P(A') c) P(A∪B) d) P(A|B)
An urn contains three red balls numbered 1, 2, 3, five white balls numbered 4, 5, 6, 7, 8, and two black balls numbered 9, 10. A ball is drawn from the urn. (Enter your probabilities as fractions.) (a) What is the probability that it is red? (b) What is the probability that it is odd-numbered? (c) What is the probability that it is red and odd-numbered? (d) What is the probability that it is red or odd-numbered? (e) What is the probability that it...
(5) A box contains 4 red and 6 white balls. If two balls are drawn at random without replacement, find the probability that one of the two is red (6) A box contains 4 red and 6 white balls. If two balls are drawn at random with replacement, find the probability that one of the two is red
1.23 A box contains n identical balls numbered 1 through n [Papoulis 1.1]. Suppose k balls are drawn in succession. a) what is the probability that m is the largest number drawn? b) what is the provability that the largest number drawn is less than or equal to m?
An urn contains four balls numbered 6, 10, 14 and 210. A ball is selected at random. Let A be the event the ball is divisible by 3; B the event it is divisible by 5; C the event it is divisible by 7. Show that A and B are independent events, B and C are independent events and A and C are independent events. Are A, B and C independent events?
A ball is drawn from a bag containing 13 red balls numbered 1-13 and 3 white balls numbered 14-16. (Enter your probabilities as fractions.) (a) What is the probability that the ball is not even-numbered? (b) What is the probability that the ball is red and even-numbered? (c) What is the probability that the ball is red or even-numbered? (d) What is the probability that the ball is neither red nor even-numbered?