a)
first yellow ball is (k+1)th ball
hence
first k balls are blue and (k+1)th is yellow
required number of ways =
total number of ways to select (k+1) balls without any contraint
hence
required probability =
b)
last ball is yellow means that in (b+y -1) balls , there are b blue balls and y-1 yellow balls
number of ways for same condition
total number of ways without any constraint
hence
required probability =
. A box contains b blue balls and y yellows balls. We take out a ball...
3. (9 points) A box contains three blue balls and two red balls. Two balls are randomly drawn from the box one after another without replacement. Determine the probability that (a) two drawn balls are both red. (b) one ball is red and one ball is blue. (c) at least one of two drawn balls is blue.
Box 1 contains a red balls and b white balls. Box 2 contains c red balls and d white balls. One ball is randomly drawn from Box 1 and put into Box 2, and then one ball is randomly drawn from Box 2 and put back in Box 1. Finally, one ball is drawn at random again from Box 2. Let X denote the number of red balls drawn from Box 2 the 2nd time. Write down the distribution of...
5) Box 1 contains w white balls and b black balls. Box 2 contains w white balls and b black balls. We take one ball from Box 1 and place it into Box 2. Then we take a ball from Box 2 and place it into Box 1. Finally we take a ball from Box 1. Compute the probability that this ball is black 6) Assume that we have n boxes and each one of them contains k white balls...
A box contains a yellow ball, an orange ball, a green ball, and a blue ball. Billy randomly selects 4 balls from the box (with replacement). What is the expected value for the number of distinct colored balls Billy will select?
3. A box contains 10 red balls, 6 blue balls, and 4 white balls. We have taken 2 balls from the box. What are probabilities that we have taken c) one red ball and one white ball b) at least one blue bal a) 2 blue balls d) no one red ball
An urn contains 5 blue balls, 3 yellow balls and 2 red balls. Three balls are drawn without replacement. (i) What is the probability that all three balls are blue? (ii) What is the probability that two balls are blue and one ball is yellow? (iii) What is the probability that at least one of the balls is blue?
A ball is drawn randomly from a jar that contains 4 red balls, 3 white balls, and 2 yellow ball. Find the probability of the given event. (a) A red ball is drawn; The probability is : (b) A white ball is drawn; The probability is : (c) A red or white ball is drawn; The probability is :
A ball is drawn randomly from a jar that contains 6 red balls, 9 white balls, and 9 yellow ball Find the probability of the given event (a) A red ball is drawn The probability is (b) A white ball Is drawn The probability is (c) A yellow ball is drawn Preview The probability is Points possible: 1 This is aczempt 1 of 2 Submit ere to search 6
box 1 3 blue and 2 ref balls. box 2 has 1 blue and 4 red balls. a box is selected randomly and a ball is drawn. what is the probability that now box2 has no blue ball
A ball is drawn randomly from a jar that contains 3 red balls, 6 white balls, and 9 yellow balls. Find the probability of the given event, and show your answers rounded to 4 decimal places when possible. a. A red ball is drawn. P(red) = _____ b. A white ball is drawn. P(white) = _____ c. A yellow ball or red ball is drawn. P(yellow or red) = ____