Three Marbles Are To Be Drawn At Random

Which expression can be used to calculate the probability of.

Three marbles are to be drawn at random.

There s two green marbles in the bag. Add all of the marbles together 3 5 4 12. B p not red i not white 3 12 or 1 4. Three marbles are assigned to three people and a box is addressed to each of them.

These are clearly all yellow. So that s the bottom number or denominator. Two marbles are drawn at random and without replacement from a box containing two blue marbles and three red marbles. Now not red is a complement opposite of something that means 3 blue 3 12 1 4.

Well there are 3 blue out of 12 a 3 12 or 1 4. We can divide the bag into 3 white and 6 non white marbles to calculate the number of ways we pick at least one white marble. Now you are looking for blue. The marbles are inserted into the boxes at random so that each box contains exactly one marble.

An urn contains 4 red 6 white and 5 blue marbles. Two marbles are drawn without replacement from a jar containing 4 black and 6 white marbles. Three marbles are to be drawn at random without replacement from a bag containing 15 red marbles 10 blue marbles and 5 white marbles. Find the probability that at least one marble is sent in the proper box.

So i could pick that red marble or that red marble. Three marbles are selected at random and without replacement. A p blue i not white 3 12 or 1 4. A bag contains 5 red balls 7 yellow balls and 3 pink balls.

So i could pick that yellow marble that yellow marble or that yellow marble that yellow marble. The easiest way to calculate that is to count all the ways you can pick 3 marbles 9 c 3 84 and subtract all of the ways that pick no white marbles 6 c 3 20. B find probabilities for p bb p br p rb p ww p at least one red p exactly one red 3. Well there s three yellow marbles.

Algebra probability and statistics solution. Two marbles are drawn without replacement. There s two red marbles in the bag. So i could pick that green marble or that green marble.

Total number of marbles 5 4 3 12 3 marbles must be drawn at random. 12c3 220 lets take the probability that the 3 marbles drawn at random are of same colour then. A jar contains 4 black marbles and 3 red marbles.