Suppose 5 red and 6 green identical objects are in a jar. A blindfolded person randomly selects two of these objects from the jar one after another, without replacing them back into the jar. The following tree diagram depicts all the possible random outcomes, but the branch probabilities are missing. 5 R 6 G a b Red Green 4 e C d Red Green Red Green Note: For all questions below, please enter your answers in fraction form. c) What is the value of the branch probability a) What is the value of the branch probability a =? b) What is the value of the branch probability d =? e =?

Suppose 3 yellow and 6 green identical objects are in a jar. A blindfolded person randomly selects two of these objects from the jar one after another, without replacing them back into the jar. The following tree diagram depicts all the possible random outcomes and their probabilities. 3 Y 6 G 3/9 6/9 2/8 Yellow Green 5/8 Yellow 6/8 3/8 Green Yellow Green Note: Please enter your answers below in fraction form. a) What is the conditional probability P(Green | Green) =? b) What is the probability of obtaining a final outcome with at least one yellow object?

A box contains 3 red and 4 blue marbles. Two marbles are drawn at a time, without replacement. Use a probability tree to answer the following questions: a. Find the probability that both marbles drawn are red. b. Find the probability that the first marble drawn was blue, given that the second was red. Thank you!

A box contains marbles of five different colors: red, green, blue, yellow, and purple. There is an equal number of each color. Assign probabilities to each color in the sample space. (Give your answers as fractions.) Red Green Blue Yellow Purple

30% of students take Physics 101 and 20% take Math146. Of the students who take Physics 101, 25% also take Math146. If a student is chosen at random find P( student takes Physics101 and Math146) O a. 0.3 O b. 0.2 O c. 0.25 O d. 0.83 One 0.075

Question 11: Find the probability that at least one of them gets off on the 5th floor. O .271 O .3 O .336

Inside a bag, there are 5 quarters, 2 nickels, and 4 dimes.   Two coins are randomly drawn without replacement.  Calculate the probability of drawing one quarter and one dime.  The tree diagram has been started below.

A bar offers alcoholic and non-alcoholic beverages. They have 12 alcoholic beverages that cost $10 or more, and 5 alcoholic beverages that cost less than $10. They also have 5 non-alcoholic beverages that cost $10 or more, and 10 non-alcoholic beverages that cost less than $10. Suppose I choose a drink at random from the menu. What is the chance that it is alcoholic, given that costs $10 or more? Choose the answer that is closest. Group of answer choices 70.6% 33.33% 37.5% 20.5%

One day at the dog park, John counted 127 dogs, of which 52 were off leash playing. Of the 52, 10 were Retrievers. He saw a total of 35 Retrievers. Using this information complete the contingency table below. Then use it to find the probabilities. Reduce all fractions and use / for the fraction bar.

Keno is a casino game in which the player has a card with the numbers 1 through 80 on it. The player selects a set of k numbers from the card, where k can range from one to ifteen. The “caller” announces twenty winning numbers, chosen at random from the eighty. The amount won depends on how many of the called numbers match those the player chose. Suppose the player picks ten numbers. What is the probability that among those ten are six winning numbers?