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use probability with combinations to solve the problem

A bag contains that are red, black, or green.

1/3 of the counters are red. 1/6 of the counters are black.

There are 15 green counters in the bag. How many black counters are in the bag?

Probability that it will rain is 1/3. Probability that it will rain, given that the tree-frogs are quiet is 36%. Probability that the tree-frogs will be quiet given that it is raining is 60%.

1. What is the probability that the tree-frogs will not be quiet?
2. What is the probability that the tree-frogs will not be quiet, given that it is not raining?

is there anyone with good knowledge of undergraduate level probability to assist me in revision?

If 35% of the population has blue eyes what is the probablitity that 4 random people all have blue eyes

An insurance salesman sells policies to 5 men, all of identical age in good health. according to the actuarial tables, the probability that a man of this particular age will be alive 30years hence is 2/3, find the probability that in 30 years, a) all men will be alive b) at least 3 men will be alive c) only 2 men will be alive d) at least 1 man will be alive,

There are 4 blue counters and 8 yellow counters in a bag. What is the probability of choosing a blue counter, not replacing it, then choosing a yellow counter?

There are 130 black and red balls in a pot. If 30 are black, how many black balls will you need to add to the box to increase picking a black to 0,5?

the letters s t a t i s t i c s are random. i pick one letter at random and don't replace it i then randomly pick a second letter draw a tree to represent picking a t and not picking a t

Jim Sellers is thinking about producing a new type of electric razor for men. If the market were favorable he would get a return of 60,000. Since Ron Bush is a good friend of Jim Sellers, Jim is considering the possibility of using Bush Marketing Research to gather additional information about the market for the razor. Ron has suggested that Jimeither use a survey or a pilot study to test the market. The survey would be a sophisticated questionnaire administered to a test market. It will cost 20,000. Ron Bush has suggested that it would be a good idea for Jim to conduct either the survey or the pilot before Jim makes the decision concerning whether to produce the new razor. ButJim is not sure if the value of the survey or the pilot is worththe cost. Jim estimates that the probability of a successful market without performing a survey or pilot study is0.5. Furthermore, the probability of a favorable survey result given a favorable market for razors is 0.7, and the probability of a favorable survey result given an unsuccessful market for razors is 0.2. In addition, the probability of an unfavorable pilot study given an unfavorable market is 0.9, and the probability of ann unsuccessful pilot study result given a favorable market for razors is 0.2.

Draw the decision tree for this problem without the probability values. Computer the revised probabilities needed to complete the decision, and place these values in the decision tree. What is the best decision for Jim? Use Expected MonetaryValue (EMV) as the decision criterion.

what events have a probability of half ?

what is the probability of the sun will rise tomorrow?

What is the probability of tossing at least 1 head and 1 tail when you toss 6 coins?