MATH 401-Intro to Math Stat Quiz #2 (1) I place 10 balls into an urn; 5...
(2) The letters in the word 'envelope are written on individual pieces of paper and placed in a hat. a If the 8 letters are selected randomly without replacing them, what is the probability an 'e' is selected second? b. If 8 letters are selected randomly with replacement, what is the probability an e' is selected second? c. If 4 letters are selected randomly without replacing them, what is the probability the letters come out in the order 'nope'? d....
The letters in the word 'envelope' are written on individual pieces of paper and placed in a hat. a. If the 8 letters are selected randomly without replacing them, what is the probability an 'e' is selected second. b. If the 8 letters are selected randomly with replacement, what is the probability an 'e' is selected second. c. If 4 letters are selected randomly without replacing them, what is the probability the letters come out in the order 'nope'? d....
I place 10 balls into an urn; 5 are red and 5 are blue. a. If I select 3 without replacement, what is the probability all are red? b. If I select 3 with replacement, what is the probability all are red? c. I remove ? blue balls from the urn so that the probability of drawing a red ball is now 0.555. What is the value of ?? Please show the solution in detail so that i can understand
In an urn, there are 3 blue balls and 2 red balls. A ball is selected at random without replacement. Regardless of what color the first ball was, a blue ball is added to the urn (so there are a total of 5 balls in the urn now). Then a second ball is selected from the urn. a) What is the chance that the second ball selected from the urn is blue? b) Given that the second ball is blue,...
In an urn, there are 3 blue balls and 2 red balls. A ball is selected at random without replacement. Regardless of what color the first ball was, a blue ball is added to the urn (so there are a total of 5 balls in the urn now). Then a second ball is selected from the urn. a) What is the chance that the second ball selected from the urn is blue? b) Given that the second ball is blue,...
Example. 2 urns. Red urn contains 3 red balls, 2 white balls. White urn contains 1 red ball, 4 white balls. Pick an urn randomly. Randomly select a ball from that urn. Without replacing the 1st ball, select a ball from the urn whose color matches the first ball. Q. Make a tree diagram, complete with probabilities describing this situation. Q. Find the probability that the first ball is white. Q. Find the probability that the second ball is white....
1. From an urn, 10 balls with replacement are selected, the urn contains 14 white balls and 5 red balls. Calculate the probability that less than 3 red balls have come out. 2. From an urn, 10 balls are selected with replacement, the urn contains 14 white balls and 14 red balls. Calculate the probability that at least 3 red balls have come out. 3. From an urn 5 balls without replacement are selected, the urn contains 11 balls, of...
1. From an urn, 10 balls with replacement are selected, the urn contains 14 white balls and 5 red balls. Calculate the probability that less than 3 red balls have come out. 2. From an urn, 10 balls are selected with replacement, the urn contains 14 white balls and 14 red balls. Calculate the probability that at least 3 red balls have come out. 3. From an urn 5 balls without replacement are selected, the urn contains 11 balls, of...
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?
Consider an urn containing 6 red balls and 3 blue balls from which 3 balls are selected without replacement. What is the probability of selecting a red ball, if you select exactly one blue ball?