0
There are 4 bags each containing 4 red marbles and 1 green marble If you grab one marble from each bag what is the probability of grabbing at least 2 green marbles?
Wiki User
∙ 12y ago
Let's consider first one bag:
The probability to grab one green marble is Pg=1/5
The probability to grab one red marble is Pr=1-Pg=4/5
For the 4 bags, it's a binomial distribution: probability to get k green out of n bags,
P(X=k)=nCk pk (1-p)n-k = nCk Pgk Prn-k
Now, the probability to grab at least 2 green marbles from 4 bags is
1 - (Probability to get no green marble from 4 bags) - (Probability to get just one green marble from 4 bags)
Probability to get no green marble is = 4C0 (4/5)4 = (4/5)4
(n=4, k=0, no green marble from each bag, 4C0 Pr4)
Probability to get just one green marble is = 4C1 (1/5) (4/5)3
(n=4, k=1, one green marble from one bag and red marbles from the other ones, 4C1 Pg Pr3)
Probability to grab at least 2 green marbles from 4 bags is
1-(4/5)4-4*(1/5)(4/5)3 = 0.1801
Wiki User
∙ 12y ago
Add your answer:
Earn +20 pts
What are the odds in favor of choosing a white marble from a bag containing 3 black marbles 4 green marbles and 6 white marbles?
The probability of drawing a white marble is .46
A marble is selected from a random jar containing 3 red marbles 4 yellow marbles and 2 marbles what are the odds in favor of selecting a red marble?
The probability of selecting a red marble is 3/9
What is the probability of choosing a green marble from A jar containing 4 red 7 green and 5 blue marbles?
There are 16 marbles total and 7 green ones, so the probability is 7/16.
A bag contains 3 red marbles 5 blue marbles 8 yellow marbles and 4 black marbles what is the theoretical probability of randomly picking each color marble?
The theoretical probability of randomly picking each color marble is the number of color marbles you have for each color, divided by the total number of marbles. For example, the probability of selecting a red marble is 3/20.
What is the probability of choosing a green marble from A jar containing 4 red 6 green and 5 blue marbles?
If one marble is chosen at random, the probability is 6/(4+6+5) = 6/15 = 2/5
What are the odds in favor of choosing a white marble from a bag containing 3 black marbles 4 green marbles and 6 white marbles?
The probability of drawing a white marble is .46
A marble is selected from a random jar containing 3 red marbles 4 yellow marbles and 2 marbles what are the odds in favor of selecting a red marble?
The probability of selecting a red marble is 3/9
What is the probability of choosing a marble that is not blue in problem 2?
if there is a jar containing 5 red marbles 6green and 4 blue what is the probability off not chossing a blue marble
What is the probability of choosing a green marble from A jar containing 4 red 7 green and 5 blue marbles?
There are 16 marbles total and 7 green ones, so the probability is 7/16.
If you have a bag containing 24 marbles If the probability of drawing a red marble is twice as likely not drawing a red marble how many red marbles are in the bag?
Suppose probability of drawing a red marble is p. Then p = 2*(1 - p) that is p = 2 - 2p or p = 2/3 So 2/3 of the 24 marbles are red 24*(2/3) = 16 red marbles.
What is the probability of pulling a red marbles out of a bag containing 16 red marbles 10 green marbles 14 blue marbles and 10 yellow marbles?
If you pull 35 marbles without replacement, the answer is 1: the event is a certainty. If you pull only one marble, at random, the probability is 16/50 = 8/25.
What is the probabilityof choosing a green marble from a jar containing 5 red 6 green and 4 blue marbles?
The probability of choosing a green marble from this jar would be 6/15. You get this answer by adding up the sum of all the marbles.
A box contains 8 green marbles 4 red marbles and 4 purple marbles if you draw a marble at random what is the probability that you will not draw a red marble?
Probability of drawing a red marble = 4/16 = 1/4 Probability of drawing not a red marble = 1 - 1/4 = 3/4
A bag contains 3 red marbles 5 blue marbles 8 yellow marbles and 4 black marbles what is the theoretical probability of randomly picking each color marble?
The theoretical probability of randomly picking each color marble is the number of color marbles you have for each color, divided by the total number of marbles. For example, the probability of selecting a red marble is 3/20.
What is the probability of choosing a green marble from A jar containing 4 red 6 green and 5 blue marbles?
If one marble is chosen at random, the probability is 6/(4+6+5) = 6/15 = 2/5
What is the probability of picking a red marble and then a blue marble?
None, if all the marbles that you have are yellow!
A jar contains 22 yellow marbles 26 green marbles 17 red marbles and 20 purple marbles A marble is drawn at random what is the probability of not pulling out a purple marble?
probability of pulling out a purple marble = 20/85probability of NOT pulling out a purple marble = 1 - 20/85 = 65/85 = 13/17
