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
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....
Two balls are drawn, without replacement, from a bag containing 13 red balls numbered 1−13 and 4 white balls numbered 14−17. (Enter your probabilities as fractions.) (a) What is the probability that the second ball is red, given that the first ball is white? (b) What is the probability that both balls are even-numbered? (c) What is the probability that the first ball is red and even-numbered and the second ball is even-numbered?
(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
Question 5 A box contains balls numbered 1, .,.,a. A ball is drawn at random: (a) What is the probability that its label number is divisible by 3 or 4? (b) What is the probability in (a) as noo?
5. Three boxes are numbered 1, 2 and 3. For k 1, 2, 3, box k contains k blue marbles and 5 - k red marbles. In a two-step experiment, a box is selected and 2 marbles are drawn from it without replacement. If the probability of selecting box k is proportional to k, then the probability that two marbles drawn have different colours is 6. Two balls are.dropped in such a way that each ball is equally likely to...
(+5)* 6. Suppose that a box contains 2 red balls, 3 white balls, and 4 blue balls. Suppose also that balls are selected from the box one at a time, at random, without replacement. What is the probability that a) all white balls will be obtained in a row? b) both end balls are blue?
Please ignore the section discussing the 3 diagrams. Tree Diagrams and Probability A box contains 4 red and 8 blue balls. Three balls are drawn from the box. Print the 3 different tree diagrams. 1. Complete the symbolic tree diagram by placing appropriate symbols on the branches and at the ends of the branches as indicated 2. Assuming the balls are drawn without replacement, complete the WO R diagram by placing appropriate probabilities on the branches and at the ends...
14. A box contains 4 red (numbers from 1 to 4) and 6 blue cards (numbered from 5 to 10). A card is chosen randomly. What is the probability that the card is red given that it is even numbered? a 1/2 b. 1/4 c. 3/4 d. 3/5 e. 2/5 f. None of the above 15. A card is drawn from a well shuffled deck and a second card is drawn without replacement. If the first card is a heart,...
1.3-9. An urn contains four balls numbered 1 through 4 The balls are selected one at a time without replacement. A match occurs if the ball numbered m is the mth ball selected. Let the event A, denote a match on the ith draw i 1,2, 3, 4. 3! (a) Show that P(A)for each i 4! 2! (b) Show that P(A, nA,) =-, i 1! (d) Show that the probability of at least one match is (e) Extend this exercise...
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...