Mathematics, 18.01.2021 21:40 torresalysabeth

Jacob has a bag of his favorite marbles. It has 3 red marbles, 4 blue, and 10 of his most favorite color, neon orange. What is the probability that, if he removes 2 marbles without looking and without replacement, he will get two orange marbles

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Answer from: taishaun

The probability that, if he removes 2 marbles without looking and without replacement, he will get two orange marbles is 0.3309.

Given that,

Jacob has a bag of his favorite marbles.

It has 3 red marbles, 4 blue, and 10 of his most favorite color, neon orange.

We have to find,

What is the probability that, if he removes 2 marbles without looking and without replacement, he will get two orange marbles.

According to the question,

It has 3 red marbles, 4 blue, and 10 of his most favorite color, neon orange.

Total number of marbles = 3 + 4 + 10 = 17

The probability that the first selection of orange is,

$P(1) = \dfrac{10}{17}$

The selection without replacement, the number of orange marbles and the total number of marbles would decrease by 1, respectively.

$P(2) = \dfrac{10-1}{17-1}\\\\P(2) = \dfrac{9}{16}$

Therefore,

The required probability is,

$P(1 \ and\ 2) = P(1) \times P(2)\\\\P(1 \ and \ 2)= \dfrac{10}{17} \times \dfrac{9}{16}\\\\P(1 \ and \ 2) = \dfrac{90}{272}\\\\P(1 \ and \ 2) = 0.3309$

The probability that the selection is orange is 0.3309.

Hence, The probability that, if he removes 2 marbles without looking and without replacement, he will get two orange marbles is 0.3309.

To know more about the Probability click the link given below.

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Answer from: leo4687

$P(1\ and\ 2) = 0.3309$

Step-by-step explanation:

Given

Red = 3

Blue = 4

Orange=10

Required

Probability of selecting 2 orange marbles

The total number of marbles is:

Total = Red + Blue + Orange

Total = 3 + 4 + 10

Total = 17

The probability that the first selection is orange is:

$P(1) = \frac{10}{17}$

Because it is a selection without replacement, the number of orange marbles and the total number of marbles would decrease by 1, respectively.

So, the probability that the selection is orange is:

$P(2) = \frac{10-1}{17-1}$

$P(2) = \frac{9}{16}$

The required probability is:

$P(1\ and\ 2) = P(1) * P(2)$

$P(1\ and\ 2) = \frac{10}{17} * \frac{9}{16}$

$P(1\ and\ 2) = \frac{10*9}{17*16}$

$P(1\ and\ 2) = \frac{90}{272}$

$P(1\ and\ 2) = 0.3309$

Answer from: Quest

the answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.

Answer from: Quest

I’d say letter a..
Which complex number is represented by the pointe graft on the complex plane below? a. -4+3i b. 3+4

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