1a.) A bag has 2 blue and 3 yellow balls. Draw a tree diagram for drawing 2 balls from the bag, without replacement, and then flipping a coin. Be sure to show the outcomes and probability associated with each outcome.
b.) Consider a success to be getting a yellow ball. Use your tree diagram to complete the following distribution table
x | P(x) |
c.) What is the probability of getting at least one yellow ball? Show or discuss two different methods if obtaining this answer.
1a.) A bag has 2 blue and 3 yellow balls. Draw a tree diagram for drawing 2 balls from the bag, without replacement, and...
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?
Assume that you are drawing two balls without replacement from an urn that contains 10 green balls, 5 blue balls, and 1 red balls. What is the probability that you will draw a blue ball and a green ball? (Hint There are two ways that this can happen.) The probability that you draw a blue ball and a green ball is Round to three decimal places as needed.) is
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...
Probability Homework A urn contains 4 blue, 6 green and 5 lavender balls 1.1 (3 pts) What is the probability of randomly drawing one lavender ball? 1.2 (3 pts) What is the probability of drawing a green ball and a blue ball (no replacement)? 1.3 (3 pts) What is the probability of drawing an blue or green ball in one draw with replacement? 1.4 (3 pts) What is the probability of drawing at least one blue ball with three draws...
1. An urn contains 4 red balls, 3 black balls and 2 green balls. We draw two balls at random (without replacement). If at least one of the two balls is red, we draw one more ball and stop. Otherwise, we draw two more balls without replacement. (i) Compute the probability that the last bal is red (NOTE that for this entire question, your notation is at least as impor tant as your final numerical answer. So, for example, do...
3G ZR 8) A box has 3 green balls (G) and 2 red balls (R). Experiment: Draw a ball and note its color. Do not put it back. Draw again and note the color. A) [5 pts] Make a condensed tree diagram for the experiment, complete with probabilities for the outcomes. outcome RR KRI Ra ik, R2 The IN RICHG, R. R. التي لا لا LG AG G3 B) [5 pts] What is the probability that the two balls drawn...
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...