Blue Andred Marbles Bag Problem

This is called probability without replacement or dependent probability.

Blue andred marbles bag problem.

Initially there were the same number of blue marbles and red marbles in a bag. What fraction of the marbles in the bag are blue. For example a marble may be taken from a bag with 20 marbles and then a second marble is taken without replacing the first marble. How many red marbles are there in the bag.

Let x the number of draws. A bag contains blue marbles and red marbles 71 in total. So frac 4 7 of the marbles are now red. The number of blue marbles is 1 less than 3 times the number of red marbles.

You reach into the bag and draw a marble and then draw another marble without replacing the first one. Since the first marble is replaced before the second marble is drawn the colour of the second marble is independent of the colour of the first marble. You draw a marble at random without replacement until the first blue marble is drawn. 2 making a table 6 rp 3a 6 ee 7 we are given that for every three blue marbles in the bag there are two red marbles.

Let x red marbles. And so this is sometimes the event in question right over here is picking the yellow marble. If the first marble drawn was a red marble what is the chance that the second draw is a blue marble. A bag has 16 blue 20 red and 24 green marbles.

The sample space for the second event is then 19 marbles instead of 20 marbles. A if you repeated this experiment a very large number of times on average how many draws would you make before a blue marble was drawn. Initially blue marbles red marbles x then john. Find an online tutor now choose an expert and meet online.

Find the probability of pulling a yellow marble from a bag with 3 yellow 2 red 2 green and 1 blue i m assuming marbles. Most questions answered within 4 hours. How many blue marbles are there. A bag contains 4 red marbles and 2 blue marbles.

A bag has 3 blue marbles and 4 red marbles. What is the chance that the first draw is a red marble. John took out 5 blue marbles and then there were twice as many red marbles as blue marbles in the bag. Answer by fombitz 32378 show source.

So simple multiplication will give the desired probability. With our new ratio of 3 4 for blue marbles to red marbles this means that 4 out of every 7 marbles in the bag are red. So they say the probability i ll just say p for probability.