###### Asked in Uncategorized

Uncategorized

# What is the probability of picking a blue marble if you have 4 red marbles 5 blue marbles 6 white marbles and 10 black marbles?

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## Related Questions

###### Asked in Math and Arithmetic, Algebra

### What does equally likely events in math term mean?

When you are asked what is the probability of drawing "thing a"
when you have only the same amount of "thing b," is called an
equally likely event. For example: In a hat you have 8 black
marbles and 8 black marbles. Since there the same amount of both,
the chance of picking a black marble is 50% and picking a blue
marble is 50%. This is an equally likely event.

###### Asked in Literature and Language, Probability

### What is the equation used to determine probability?

Number of possibilities for one category / Total of all
possibilities. For example, if I had a bag of marbles where there
are three white marbles and two black marbles. The probability of
pulling out a white marble is how many white marbles are in the bag
which is: three. But the total of things you can draw out of the
bag can either be one of the three white marbles or one of the two
black marbles. 3 white marbles+ 2 Black marbles= five marbles.
Possibility is 3/5 for drawing a white marble.

###### Asked in Math and Arithmetic, Statistics, Probability

### If A bag contains 3 orange 5 black and 2 white marbles Two marbles are drawn but the first marble is not replaced Find P white then black?

Bag with 10 marbles: 3 orange, 5 black, 2 white.
Rephrasing the question.
If a marble is drawn from the bag, then returned to the bag, and
a second marble
is drawn, what is the probability that the first marble turns
out white and the second
marble black ?
The probability for a marble to come out white from the bag
is:
P(W) = 2/10 = 1/5
The probability for a marble to come out black from the bag
is:
P(B) = 5/10 = 1/2
The probability for a marble to come out white, put back in the
bag and then take again a marble for a second time and turns out to
be black is:
P(B2|W1) = (1/5)∙(1/2) = 1/10 = 0.10 = 10 %

###### Asked in Math and Arithmetic

### How do you find the probability of 4 blue marbles 5 red marbles 1 green marble and 2 black marbles?

It depends what probability exactly you want to find.
probability = number of successful ways / total number of
ways
If the problem is:
You have a bag containing 4 blue, 5 red, 1 green, 2 black marble
what is the probability of picking a blue marble at random?
Then
successful ways = 4 as there are 4 blue marbles
total ways = 12 as there are 4 [blue] marbles + 5 [red] marbles
+ 1 [green] marble + 2 [black] marbles = 12 marbles in total.
pr(picking a blue) = 4/12 = 1/3
Perhaps the problem is:
You pick 2 marbles at random without replacing them, what is the
probability that they are the two black marbles?
Each picking of a marble is an event and the two events are
independent (in the sense that whatever you pick first does not
affect the probability of the second pick) so you multiply the
probability of each together:
pr(1st black) = 2/12 = 1/6
pr(2nd black) = 1/11 (there is 1 less black marble in the
bag)
pr(2 blacks) = 1/6 × 1/11 = 1/66
Perhaps it is:
You pick 2 marbles at random replacing the marble after the
first pick, what is the probability of picking the same colour each
time?
This time there are 4 possible colours and the probabilities of
2 marbles the same is calculated for each (similar to above) and
then they are added together to find the total probability of 2
marbles of the same colour:
pr(blue) = 4/12 → pr(2 blue) = 4/12 × 4/12 = 16/144
pr(red) = 5/12 → pr(2 red) = 5/12 × 5/12 = 25/144
pr(green) = 1/12 → pr(2 green) = 1/12 × 1/12 = 1/144
pr(black) = 2/12 → pr(2 black) = 2/12 × 2/12 = 4/144
→ pr(2 the same colour) = pr(2 blue) + pr(2 red) + pr(2 green) +
pr(2 black)
= 16/144 + 25/144 + 1/144 + 4/144 = 46/144 = 23/72
And so on.

###### Asked in Statistics, Probability

### What is the probability of independent events?

If you mean the probability that independent events will occur,
it is the product of the individual probabilities that they occur.
Ex: Probability of picking a red marble from a jar with 4 red and 6
green marbles and picking a black card from a deck of 52.
P(red) = 4/10 = 2/5
P(black card0 = 26/52 = 1/2
P(both) = 2/5 x 1/2 = 1/5

###### Asked in Probability

### What is the probability of winning at craps?

The odds are set so that the longer you play, the more probable
it is you will lose. Its like betting on a jar with a thousand
marbles in it. 600 of the marbles are black and 400 are white. You
bet $1 each time a marble is picked and your bet is that a white
marble will be picked. If a white marble is picked, you get your $1
back plus an additional $1. As the marbles are being picked, you
may be winning at times but ultimately you will lose $200 because
there are 200 more black marbles than white marbles. This may seem
very simplistic but it is exactly what happens when you play
craps.

###### Asked in Math and Arithmetic, Statistics

### If you have 50 black marbles and 50 white marbles in a bag at most how many times would you have to draw out a marble to get two the same colour?

The maximum number of marbles you have to draw is three. 1) Draw
a marble. It is either white or black. 2) Draw a second marble. If
it is the same colour as the first marble, we are done after two
draws. 3) Otherwise, the drawn marbles have different colours. Draw
a third marble.
No matter what you draw next, you must have two marbles of the
same colour.

###### Asked in Math and Arithmetic, Statistics, Probability

### What is the probability that if you draw 5 marbles from the jar without replacement 3 are red?

That depends on how many marbles are in the jar, and what
colours they are. You could have 999,997 black marbles and 3 red
ones, which would make the chance of drawing one red marble, quite
literally, one in one million.
As an interesting aside, as the number of non-red marbles grows,
the probability of drawing a red one gets infinitely closer to (but
never reaches) zero, assuming there is at least one red marble.
This is an example of something from calculus, which becomes quite
useful in thinking about some kinds of things.
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