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Blue andred marbles bag problem.
So simple multiplication will give the desired probability.
Let x the number of draws.
How many red marbles are there in the bag.
You draw a marble at random without replacement until the first blue marble is drawn.
The sample space for the second event is then 19 marbles instead of 20 marbles.
A bag contains blue marbles and red marbles 71 in total.
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So frac 4 7 of the marbles are now red.
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.
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.
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.
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You reach into the bag and draw a marble and then draw another marble without replacing the first one.
The probability of picking a yellow marble.
What is the chance that the first draw is a red marble.
How many blue marbles are there.
What fraction of the marbles in the bag are blue.
A bag has 3 blue marbles and 4 red marbles.
This is called probability without replacement or dependent 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.
And so this is sometimes the event in question right over here is picking the yellow marble.
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.
A bag has 16 blue 20 red and 24 green marbles.
Initially there were the same number of blue marbles and red marbles in a bag.
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.
If the first marble drawn was a red marble what is the chance that the second draw is a blue marble.
The number of blue marbles is 1 less than 3 times the number of red marbles.
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Let x red marbles.
A bag contains 4 red marbles and 2 blue marbles.