1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Shkiper50 [21]
3 years ago
11

If a couple were planning to have three​ children, the sample space summarizing the gender outcomes would​ be: bbb,​ bbg, bgb,​

bgg, gbb,​ gbg, ggb, ggg. a. Construct a similar sample space for the possible gender outcomes​ (using b for boy and g for girl​) of two children. b. Assuming that the outcomes listed in part​ (a) were equally​ likely, find the probability of getting two girl children. c. Find the probability of getting exactly one boy child and one girl child.
Mathematics
1 answer:
marusya05 [52]3 years ago
7 0

Answer:

(a) The sample space is: S = {bb, bg, gb, gg}

(b) The probability that the couple has two girl children is 0.25.

(c) The probability that the couple has exactly 1 boy and 1 girl child is 0.50.

Step-by-step explanation:

A boy child is denoted by, <em>b</em>.

A girl child is denoted by, <em>g</em>.

(a)

A couple has two children.

The sample space for the possible gender of the two children are:

The couple can have two boys, two girls or 1 boy and 1 girl.

So the sample space is:

S = {bb, bg, gb, gg}

(b)

It is provided that the outcomes of the sample space <em>S</em> are equally likely, i.e. each outcome has the same probability of success.

Compute the probability that the couple has two girl children as follows:

P (2 Girls) = Favorable no. of outcomes ÷ Total no. of outcomes

                =\frac{1}{4} \\=0.25

Thus, the probability that the couple has two girl children is 0.25.

(c)

Compute the probability that the couple has exactly 1 boy and 1 girl child as follows:

P (1 boy & 1 girl) = Favorable no. of outcomes ÷ Total no. of outcomes

                          =\frac{2}{4} \\=0.50

Thus, the probability that the couple has exactly 1 boy and 1 girl child is 0.50.

You might be interested in
What is (-4,5) and (8,-1)
Musya8 [376]

Answer:

the slope-intercept equation of a line that passes through the coordinate (-4,5) and (8,-1) is

y  =  - 0.5x + 3

Step-by-step explanation:

1) Apply the slope formula; y^2 - y^1 divided by x^2 - x^1

y^2 is -1

y^1 is 5

x^2 is 8

x^1 is -4

-1 - 5 = -6

8 - (-4) = 12

-6/12 is -1/2 or -0.5

2) To find the y-intercept, hoose either of the coordinates and replace y, m, and x in the y= mx+b formula.

5= -0.5(-4) + b

5= 2 + b

3= b

6 0
3 years ago
Which statement is true about the graph of the equation y=csc^-1(x)<br>​
Sloan [31]

Answer:

There is a vertical asymptote at x = 0

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
If the population of a country grows at a rate of approximately 5 percent per year, the number of years required for the populat
iogann1982 [59]
THe number of years would be 20 years.
8 0
2 years ago
What is the shortest driving distance from the animal shelter to the stadium?
Inessa [10]

Answer:

7 miles

Step-by-step explanation:

Four miles plus 3 miles = 7 miles


6 0
3 years ago
ANSWER ASAP!!!!!!!!!!!!!!!
Lisa [10]

Answer:

linear and increasing

Step-by-step explanation:

uwu

6 0
3 years ago
Other questions:
  • Determine 18th shape in the pattern
    9·2 answers
  • A jar of marbles contains 7 blue marbles, 12 yellow marbles, 8 green marbles, and 5 red marbles. Use this information to answer
    7·1 answer
  • 63 is 63% of what number​
    7·2 answers
  • Sean is taking drivers ed. And the instructor asked him to stay within 2 miles of the posted speed limits. The current speed lim
    10·1 answer
  • This is the first part of a three-part problem. express $18\sqrt 8$ in the form $a\sqrt b$, where $a$ and $b$ are integers and $
    12·2 answers
  • If a container of liquid contains 40 oz of​ solution, what is the number of ounces of pure acid if the given solution contains t
    14·1 answer
  • GEOMETRY HELP PLZ
    9·1 answer
  • If Colorado spring, Colorado, has 1.2 times as many days of sunshine as Boston, Massachusetts, how many days of sunshine does ea
    11·1 answer
  • The sum of 11 and t is 22
    13·2 answers
  • PLEASE HELP I NEED TO FINISH THIS TODAY PLEASE BE RIGHT I NEED TO GET TO 70 AND I AM IN 54
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!