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2 years ago

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Two balls are drawn without replacement from a box containing 2black and 3 red balls. What is the probability of drawing a black

ball on the second draw? Draw a tree diagram

1 answer:

babunello [35]2 years ago

5 0

The probability that the second ball drawn is black is 4/10 = 2/5

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

There are two cases. The case where the first ball is red is the first one.

The probability of drawing a red ball is equal to the quotient between the number of red balls and the total number of balls.

p = 3/5

Then, the probability of drawing a black ball in the second attempt is computed in the same way, but because we already drew a ball, now the total number of balls is 4, so we have:

q = 2/4 = 1/2.

So the joint probability is:

P = (3/5)*(1/2) = 3/10.

Then we have the case where both balls are black, the probabilities now are:

p = 2/5

q = 1/4

So the joint probability is:

P = (2/5)*(1/4) = 1/10

The total probability is the sum of the two above:

probability = 3/10 + 1/10 = 4/10.

The probability that the second ball drawn is black is 4/10 = 2/5

If you want to learn more about probability:

brainly.com/question/251701

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Find the surface area of a right triangle prism with legs measuring 3 and 4 and a height of 10.

Hunter-Best [27]

Since we have a rectangle triangle, then we can find the other side of the triangle using the Pythagorean theorem.
We have then:
$L = \sqrt{3^2+4^2}$
$L = \sqrt{9+16}$
$L = \sqrt{25}$
$L = 5$
Then the surface area is given by the sum of the areas.
Triangle of the base and the top:
$A1 = (1/2) * (4) * (3)

A1 = 6$
Rectangle 1:
$A2 = (3) * (10)

A2 = 30$
Rectangle 2:
$A3 = (4) * (10)

A3 = 40$
Rectangle 3:
$A4 = (5) * (10)

A4 = 50$
Finally, the surface area is:
$A = 2A1 + A2 + A3 + A4
$
Substituting values:
$A = 2 * (6) + 30 + 40 + 50

A = 132$
Answer:
The surface area of a right triangle prism is:
B. 132

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3 years ago

Karrie's mom has these flavors of juice boxes in a cooler.

Andrej [43]

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4 years ago

Is the construction of triangle with the given angles is possible or not

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4 years ago

the table below gives the cost per person to rent a fishing charter boat. find the rate of change given that it is contast also

Alex17521 [72]

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4 years ago

If a polynomial function f(x) has roots 3+root5 and -6, what must be a factor of f(x)? (X+(3-root5) (x-(3-root5)) (x+(5+root3))

belka [17]

Answer:

$(x-(3+\sqrt5))$ or $(x-3-\sqrt5)$ is a factor of the given polynomial.

Step-by-step explanation:

Let us learn the concept with an example first.

Let the polynomial be a quadratic function $g(x)$ .

$g(x) = x^{2} -5x+6$

The roots of $g(x)$ are 2 and 3.

Putting $x= 2\ in \ g(x)$

$2^2-5\times 2+6 = 4-10+6 =0$

Putting $x= 3\ in \ g(x)$

$3^2-5\times 3+6 = 9-15+6 =0$

Putting x = 2 or x = 3, g(x) = 0 $\therefore$ The roots of equation g(x) are 2 and 3.

Now, let us try to factorize g(x):

$x^{2} -2x-3x+6\\\Rightarrow x(x -2)-3(x-2)\\\Rightarrow (x-3)(x-2)$

so, the equation can be written as:

$g(x) = x^{2} -5x+6=(x-3)(x-2)$ where 3 and 2 are the roots of equation.

The factors are (x-3) and (x-2).

$\therefore$ for the polynomial f(x) which has roots $3+\sqrt5\ and\ -6$ will have a factor:

$(x-(3+\sqrt5))$ or $(x-3-\sqrt5)$

8 0

4 years ago