Mathematics, 17.06.2020 22:57 jeremiahhart13

To the right are the outcomes that are possible when a couple has three children. Assume that boys and girls are equally likely, so that the eight simple events are equally likely. Find the probability that when a couple has three children, there is exactly 1 boy. 1st 2nd 3rd boy minus boy minus boy boy minus boy minus girl boy minus girl minus boy boy minus girl minus girl girl minus boy minus boy girl minus boy minus girl girl minus girl minus boy girl minus girl minus girl What is the probability of exactly 1 boy out of three children?

Answers: 1

Show answers

Answers

Answer from: Tcareyoliver

There is 37.5% probability of exactly 1 boy out of three children.

Given that,

To the right are the outcomes that are possible when a couple has three children.

Assume that boys and girls are equally likely, so that the eight simple events are equally likely.

We have to find,

The probability that when a couple has three children, there is exactly 1 boy.

According to the question,

A probability is the number of desired outcomes divided by the number of total outcomes.

The possible outcomes are:

The b denote the boy,

And g denote the girl

Therefore,

b - b - b

b - b - g

b - g - b

b - g - g

g - b - b

g - b - g

g - g - b

g - g - g

There are 8 possible outcomes.

The probability that when a couple has three children, there is exactly 1 boy.

b - g - g

g - b - g

g - g - b

There are 3 outcomes for exactly 1 boy.

Therefore,

The probability of exactly 1 boy out of three children is given by,

$= \dfrac{ 3 \ outcomes\ for \exacatly\ 1 \ boy}{total \ possible \ outcomes }\\\\= \dfrac{3}{8}\\\\= 0.375\\\\= 37.5\ percent$

Hence, There is 37.5% probability of exactly 1 boy out of three children.

To know more about Probability click the link given below.

link

Answer from: Maddi7328

37.5% probability of exactly 1 boy out of three children

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The possible outcomes are:

b for boy, g for girl

b - b - b

b - b - g

b - g - b

b - g - g

g - b - b

g - b - g

g - g - b

g - g - g

There are 8 possible outcomes.

Exactly one boy:

b - g - g

g - b - g

g - g - b

3 outcomes

What is the probability of exactly 1 boy out of three children?

3/8 = 0.375

37.5% probability of exactly 1 boy out of three children

Answer from: Quest

it is true

step-by-step explanation:

all the combinations add up i used calculator

Answer from: Quest

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

$ab^2+ac^2=bc^2$

$ab^2+ac^2=x^2$ )

triangle abd and cba are similar,

$\frac{ab}{bc}=\frac{bd}{ab}$

$ab^2=bc\cdot bd$

$25=bc\cdot bd$ (2)

triangle cad and cba are similar,

$\frac{ac}{bc}=\frac{cd}{ac}$

$ac^2=bc\cdot dc$

$7\times 7=bc\cdot dc$

$49=bc\cdot dc$ )

using (1), (2) and (3), we get

$25+49=x^2$

$74=x^2$

hence proved.

therefore option 2 is correct.

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 19:30, Pen350

Joel wants to buy a new tablet computer fram a store having a 20% off sale on all tablets. the tablet he wants has an original cost of $190. he also wants to make sure he has enough money to pay the 5% sales tax. part one joel uses the incorect expression 0.95(190)(0.8) to calculate that the tablet will cost him a total of $144.40. describe his error and write the correct expression part two how much will joel pay for the tablet show your work if you answer this question correctly you will receive a prize of 99 points good luck

Answers: 2

continue

Mathematics, 21.06.2019 19:30, mariaaaaa69

Complete the solution of the equation. find the value of y when x equals to 28 x+3y=28

Answers: 2

continue

Mathematics, 21.06.2019 21:00, venancialee8805

The perimeter of a rectangle is 42 inches. if the width of the rectangle is 6 inches, what is the length

Answers: 2

continue

Mathematics, 21.06.2019 21:00, kmassarotti

Apiling for a high-rise building is pushed by two bulldozers at exactly the same time. one bulldozer exerts a force of 1250 pounds in a westerly direction. the other bulldozer pushes the piling with a force of 2650 pounds in a northerly direction. what is the direction of the resulting force upon the piling, to the nearest degree? a. 65 n of w b. 25 n of w c. 45 n of w d. 35 n of w

Answers: 1

continue

You know the right answer?

To the right are the outcomes that are possible when a couple has three children. Assume that boys a...