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ankoles [38]
1 year ago
15

A bag contains 20 identical balls of which 12 are white and 8 are black in colour. 3 balls are drawn randomly without any replac

ement. what is the probability of picking 2 white balls and 1 black ball?
Mathematics
1 answer:
Kaylis [27]1 year ago
7 0

The probability of picking 2 white balls and 1 black ball is 0.154

<h3>How to determine the probability?</h3>

The given parameters are:

  • Number of balls, n = 20
  • White = 12
  • Black = 8

When each ball is selected, the total number of ball decreases by 1 and the type of ball also decreases.

So, the probability is represented as:

P(2 white and 1 black) = White/n * White - 1/n - 1 * Black//n - 2

Substitute known values

P(2 white and 1 black) = 12/20 * 11/19 * 8//18

Evaluate

P(2 white and 1 black) = 0.154

Hence, the probability of picking 2 white balls and 1 black ball is 0.154

Read more about probability at:

brainly.com/question/251701

#SPJ1

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3 years ago
Evaluate the triple integral_E x^6e^y dV where E is bounded by the parabolic cylinder z = 25 - y^2 and the planes z = 0, x = 5,
Nimfa-mama [501]

Nothing crazy here, just a matter of figuring out the limits of integration.

\displaystyle\iiint_Ex^6e^y\,\mathrm dV=\int_{-5}^5\int_{-5}^5\int_0^{25-y^2}x^6e^y\,\mathrm dz\,\mathrm dy\,\mathrm dx

=\displaystyle\int_{-5}^{-5}\int_{-5}^5x^6e^y(25-y^2)\,\mathrm dy\,\mathrm dx

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3 years ago
Present Value Hoew much shuold be deposited in an account paying 7.8% interest compounded monthly in order to have a balance of
Alisiya [41]

Answer: $15385 should be deposited.

Step-by-step explanation:

The principal was compounded monthly. This means that it was compounded 12 times in a year. So

n = 12

The rate at which the principal was compounded is 7.8%. So

r = 7.8/100 = 0.078

It was compounded for 4 years. Therefore,

t = 4

The formula for compound interest is

A = P(1+r/n)^nt

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21000 = P (1.0065)^48

P = 21000/1.365

P = $15385

6 0
2 years ago
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