12. If a family is chosen at random from the set of all families with exactly three children, find the probability
that: (2Marks)
a) the family has three boys if it is known that one child is a boy.
b) the family has three boys if it is known that the first child is a boy.

Answers

Answer 1

Answer:

(a) 0.25

(b) 0.125

Step-by-step explanation:

The probability of the child being a boy or a girl is 50%.

That is, P (B) = 0.50 = P (G).

It is provided that the family selected has three children.

(a)

Compute the probability that the family has three boys if it is known that one child is a boy as follows:

[tex]P(3B|1B)=\frac{P(3B\cap 1B)}{P(1B)}[/tex]

                 [tex]=\frac{P(3B)}{P(1B)}\\\\=\frac{(0.50)^{3}}{0.50}\\\\=0.25[/tex]

Thus, the probability that the family has three boys if it is known that one child is a boy is 0.25.

(b)

Compute the probability that the family has three boys if it is known that the first child is a boy as follows:

The gender of the children are independent of each other.

So, if the first child is a boy then the probability of having three boys is:

P (3 boys | 1st boy) = P (1st boy) × P (2nd boy) × P (3rd boy)

                               = (0.50)³

                               = 0.125

Thus, the probability that the family has three boys if it is known that the first child is a boy is 0.125.


Related Questions

Bob played a trivia game in which he lost 3 points for each incorrect answer and gained 8 points for each correct answer. If Bob answered 11 questions correctly and 4 questions incorrectly, what was his total score?

Answers

Answer:

76

Because 11*8=88 and 4*3=12

88-12=76

Find the midpoint of the segment with the following endpoints(-8,-6) and (2,-10)

Answers

Answer:

(-3, -8)

Step-by-step explanation:

-8+2/2= -3

-6 -10/2= -8

(-3, -8)

A rectangular tank has a length of 12 feet, width of 8 feet, and height of 5 feet. Frankie filled the tank with water at a rate of 4 cubic feet per minute. At this rate, how long will it take Frankie to completely fill the tank without overflowing it?

Answers

Answer:

Step-by-step explanation:

12 x 8 x 5 = 480/4= 120 minutes or 2 hours  

Jordan has 3 blue shirts, 4 red shirts and 6 orange shirts. She chooses a shirt for Monday and places it in her suitcase. Then, she chooses a shirt for Tuesday. What is the probability that she choose a red shirt for Monday and an orange shirt for Tuesday?

Answers

Answer:

30% on Monday 46% on Tuesday

Step-by-step explanation:

Well you have 3 blue shirts 4 red shirts and 6 orange shirts so what you have to do is add all them together to make it a fraction which you would do 3+4+6 which is 13/13 so the probability of her wearing a red shirt on Monday would be 4/13 since there are 4 red shirts and 13 in total so we make 4/13 as a fraction which would give us 30% chance she would choose a red shirt on Monday and for Tuesday we do the same thing but instead we use orange shirts so which is 6/13 which would give her a percentage of 46% on Tuesday it's more closer to half than the red shirts because 6 pretty much half of 13 but since 13 is a odd number it isn't  half because half of 13 is 6.5

X/2+3/8=1
What does x equal

Answers

Answer: X = 5/4

X/2 + 3/8 = 1

Subtract 3/8 from both sides.

X/2 = 1 - 3/8

Simplify 1 - 3/8

X/2 = 5/8

Multiply both sides by 2.

X = 10/8

Simplify 10/8

X = 5/4

Answer:

x=5/4

Step-by-step explanation:

Subtract 3/8 from both sides.

Then simplify.

Multiply both sides by 2.

And then simplify again.

Hope this helped! :)

15+6x=45+8x
what does x equal

Answers

Answer:

X=-15

Step-by-step explanation:

Do simple math

Answer:

-15=x

Step-by-step explanation:

15 + 6x = 45 + 8x

       -6x            -6x

15 = 45 + 2x

-45   -45

-30 = 2x

/2       /2

-15 = x

Hope this helps!

PLEASE HELP, GIVING BRAINLIEST!!!

These triangles are congruent by _____.

A. ASA
B. AAS
C. SSS
D. Not enough information
E. None of these

Answers

Answer:

A. ASA

Step-by-step explanation:

There are two angles and sides marked as congruent\

The angles in the middle are congruent by the Vertical Angles Theorem

They have congruent side with congruent angles adjacent so it's Angle Side Angle

What is the simplified expression for
44 • 43 45

Answers

The third one, 4^2 is the answer. Let me know if I got wrong

Answer:

D

Step-by-step explanation:

the simplified version is 16 I'm not sure tho.

If Fernando paid 450 for a notebook that was 75percent of the original price, what was the original price?

Answers

Answer:

$600

Step-by-step explanation:

450➗75✖100= 600. The original price was $600.

Answer:

600

Step-by-step explanation:

450/.75=600 dollars

Which equation shows an example of the associative property of addition?

A. (–4 + i) + 4i = –4 + (i + 4i)
B. (–4 + i) + 4i = 4i + (–4i + i)
C. 4i × (–4i + i) = (4i – 4i) + (4i × i)
D. (–4i + i) + 0 = (–4i + i)

Answers

Answer:

I am pretty it's A

Step-by-step explanation:

Basically the Associative Law of Addition means that the order that the numbers are added does not matter.

Answer:

A. (–4 + i) + 4i = –4 + (i + 4i)

Step-by-step explanation:

edge2020

Have a great day y'all :)

I figured iut the greatest power which is 5, and the difference for the function which is 10. but my questions are.
12.) what is the "a" value for the function in the chart?
13.) what is the equation for the function above?​
please explain work

Answers

Answer:

12) a = 5

Step-by-step explanation:

a is found by dividing the second difference by 2.

10 = 2a

5   = a

If you roll a standard number
cube 30 times, how many times
can you expect to roll a number
greater than 4

Answers

1/26 chance to do so

What Is The Slope Of the Line

Answers

Answer:

2/2.5 or 3/4 I pretty sure that's right

Line AB is 14 inches long. What is the approximate area of the circle?






615.44 inches
21.98 inches
153.86 inches
43.96 inches

Answers

Answer:

The third one is closest

Step-by-step explanation:

half of the diameter=the radius 14/2 = 7 and the formula for the area of a circle is r^2π so 49 × π is 153.93804

Factorise Fully:
21b-3b^2

Answers

See attachment for math work and answer.

Solve for y: -3y-6x= -18 *

Answers

Answer:

[tex]y=-2+6x[/tex]

Step-by-step explanation:

[tex]-3y-6x= -18[/tex]

[tex](-3y-6x)= -18+6x[/tex]

[tex]-3y-6x+6x=6x -18[/tex]

[tex]y=-2+6x[/tex]

Completa el enunciado siguiente. Luego usa una recta numérica para hallar la suma 4 + (-7).
4+ (-7) es
unidades desde 4, en la dirección
4+(-7) es
unidades desde 4, en la dirección

Answers

Respuesta Es -3 (tried my best I’m only in Spanish two my main language is English)

Lula Krobo is paid a commission of 7% commission on all sales over $15,000 in a month and a monthly salary of $2,300. Her last month’s sales were $29,700. What were Lula’s total earnings for the month?

Answers

Answer:   $33,029.00

Step-by-step explanation: 29700 + 1029 + 2300

sales = $29,700

commission = $1,029

salary = $2,300

Plz mark brainliest:)

lindsey and Oscar have been selling popcorn for a class fundraiser. Oscar sold three times as many bags of popcorn as Lindsey. together they have sold a total of 92 bags of popcorn. how many bags did Oscar sell?

Answers

Answer:

Oscar= 69

Step-by-step explanation:

92/4 = 23

23 times 3=69

I need help fast solve; question: using the distributive property: 4(x+9)

Answers

Answer:

x = 9

Step-by-step explanation:

4 x X + 4 x 9 =

4x + 36

36/4 = 9

plss explain 30 points

Answers

Answer:

The height increases as the ferris wheel goes up.

Step-by-step explanation:

Answer:

The ferris wheel goes up and that is the height and when the ferris wheel goes down that is the time so the line goes up and down just like the graph shown

Step-by-step explanation:

What percent of 185 is 70?
(please show work)

Answers

Answer:

37.84

Step-by-step explanation:

Step 1: We make the assumption that 185 is 100% since it is our output value.

Step 2: We next represent the value we seek with x.

Step 3: From step 1, it follows that 100%=185.

Step 4: In the same vein, x%=70.

Step 5: This gives us a pair of simple equations:

100%=185(1).

x%=70(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left-hand side) of both equations have the same unit (%); we have

100% / x% = 185 / 70

Step 7: Taking the inverse (or reciprocal) of both sides yields

x% / 100% = 70/185

---> = 37.84%

Therefore, 70 is 37.84% of 185.

A teacher uses the function G(x) = -3x + 100 to calculate a student's grade, G(x), on a test if the student misses x questions on the test. Which statement best descebes the slope of the function? Show complete working format please​

Answers

Answer:

then it would 50 no? i first divided 100 from x and game me 100x and then since i knew that 2 plus 3 is 5 and if i add a 0 then it would make 50

Step-by-step explanation:

It takes Brian 15 hours longer to build a model car than it takes John. If they work together, they can build the model car in 4 hours. Using complete sentences, explain each step in figuring out how to determine the time it would take Brian to build the car on his own. (10 points)

Answers

Answer:

1/x + 1/( x+15 ) = 1/4  / · x ( x+15 )

   x+15 + x = x ( x+15 ) /4      / · 4

   8 x + 60 = x² + 15 x

   x² + 15 x - 8 x - 60 = 0

   x² + 7 x - 60 = 0

   x² + 12 x - 5 x - 60 = 0

   x · ( x + 12 ) - 5 ·( x+ 12 ) = 0

   ( x + 12 ) · ( x - 5 ) =0

   x = - 12  ( not accepted ) or  x = 5

   The time taken by Brian:  5 + 15 = 20 hours

Step-by-step explanation:

plzzz help

-7/9 times 9/8 in fraction form

Answers

Answer:

7/8 (simplified)

Step-by-step explanation:

Answer:

-7/8

Step-by-step explanation:

-7/9*9/8

Simplify

-7/1*1/8=

-7/8

What is the slope of a line perpendicular to the line whose equation is
12x – 2y = 24. Fully reduce your answer.

Answers

Answer:

-1/6

Explanation:

The slope of the line is: 6
And if two lines are perpendicular to each other, the product of their slopes is: -1

Step-by-step explanation:

The angle between the slope of the line parallel to the line whose equation is

[tex]12x-2y=24[/tex] is [tex]-1/6[/tex]

The slope intercept form is represented as follows;

[tex]y = mx + b[/tex]

where

m = slope

b = y-intercept

For a line perpendicular to another line the product of there slope is negative 1. Therefore,

m₁m₂ = -1

m₁ 1/6 = -1

m₁ = - 1/ 5

The line's angle of slope is 6

Additionally, the slope product of two lines that are perpendicular to one another is -1.

To learn more on linear equation refer to:

brainly.com/question/21010397?referrer=searchResults

#SPJ2

In solving for y in the equation, what is the first step? -6x+3y=12

Answers

Answer:

Step-by-step explanation:

-6x+3y=12

You have to separate y from the other terms.

So add (-6x) to both sides and you'll get:

3y=6x+12

Drag and drop the angle pairs to correctly match their description.

Answers

Answer:

<XAW and <UAY are vertical angles

<XAW and <XAZ are complementary angles

Compare 3+ (-4) to (-4) + 3. What happens to the sum when the addends are reversed?

Answers

Answer: = 16ot + 6

Step-by-step explanation: coz I juss know

Jonas has salary of $2,000 each month. He pays income tax at a rate of 15%. How much income tax Jonas pay each month in dollars and cents?

Answers

2000•.15=300
jonas pays 300$ each month
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