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
slamgirl [31]
3 years ago
13

Sample spaces For each of the following, list the sample space and tell whether you think the events are equally likely:

Mathematics
1 answer:
Schach [20]3 years ago
4 0

Answer and explanation:

To find : List the sample space and tell whether you think the events are equally likely ?

Solution :

a) Toss 2 coins; record the order of heads and tails.

Let H is getting head and t is getting tail.

When two coins are tossed the sample space is {HH,HT,TH,TT}.

Total number of outcome = 4

As the outcome HT is different from TH. Each outcome is unique.

Events are equally likely since their probabilities \frac{1}{4} are same.

b) A family has 3 children; record the number of boys.

Let B denote boy and G denote girl.

If there are 3 children then the sample space is

{GGG,GGB,GBG,BGG,BBG,GBB,BGB,BBB}

The possible number of boys are 0,1,2 and 3.

Number of boys      Favorable outcome    Probability

           0                      GGG                        \frac{1}{8}

           1                    GGB,GBG,BGG          \frac{3}{8}

           2                   GBB,BGB,BBG           \frac{3}{8}

           3                       BBB                         \frac{1}{8}

Since the probabilities are not equal the events are not equally likely.

c)  Flip a coin until you get a head or 3 consecutive tails; record each flip.

Getting a head in a trial is dependent on the previous toss.

Similarly getting 3 consecutive tails also dependent on previous toss.

Hence, the probabilities cannot be equal and events cannot be equally likely.

d) Roll two dice; record the larger number

The sample space of rolling two dice is

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

Now we form a table that the number of time each number occurs as maximum number then we find probability,

Highest number        Number of times         Probability

           1                                   1                     \frac{1}{36}

           2                                  3                    \frac{3}{36}

           3                                  5                    \frac{5}{36}

           4                                  7                    \frac{7}{36}

           5                                  9                    \frac{9}{36}

           6                                  11                    \frac{11}{36}

Since the probabilities are not the same the events are not equally likely.

You might be interested in
If 25 articles cost $43.75 how much does each cost?​
quester [9]

Answer:

$1.75

Step-by-step explanation:

I had this question and got it right!

8 0
2 years ago
Simplify 7 – (–12) – 5
kherson [118]

Answer:

14

Step-by-step explanation:

1. Do the "Two Mark" Rule

    -  7 + (+12) - 5

2. Do your addition before subtracting

    - 7 + 12 = 19

3. Subtract your remaining two numbers

   -  19 - 5 = 14

5 0
3 years ago
What 2 numbers add to get 29 but when you subtract you get 1?
stiks02 [169]

Answer:

15 and 14

Step-by-step explanation:

15+14=29

15-14=1

3 0
2 years ago
Plz Help .............​
Rus_ich [418]

363.9ft^{2}

Step-by-step explanation:

Area =\pi r^{2} -\frac{1}{3}\pi r^{2}  +\frac{1}{2}r^{2}sin\alpha \\\\\\   = \frac{2}{3}\pi 12^{2} +\frac{1}{2}12^{2}sin120 =363.9ft^{2}

5 0
3 years ago
Read 2 more answers
Katalene wants to make a quilt in the shape of a golden rectangle. She only has enough binding material for a quilt with a perim
lara31 [8.8K]
All of these choices would result in a 29-ft perimeter for the quilt.
But choice-b is significantly closer to the golden ratio than the others are.
Golden Ratio = (1/2) (1 + √5)  =  1.618... (rounded)
Choice a).  1.665
Choice b).  1.617 the answer is "B"
Choice c).  1.526
Choice d).  1.5709 
 
4 0
3 years ago
Other questions:
  • Kelli calls her grandmother every month.Every other month she calls her cousin. if Kelli calls her cousin in January how many ca
    5·2 answers
  • The farthest distance a satellite signal can directly reach is the length of the segment tangent to the curve of Earth's surface
    6·1 answer
  • All of the following points lie on the graph of y = 5x except _____.
    11·1 answer
  • A boat is 20 ft away from a point perpendicular to the shoreline. A person stands at a point down the shoreline so that a 60° an
    11·1 answer
  • Consider the diagram below. Which of the following is the value of X?
    9·1 answer
  • ima ask againnn. okay. i need help i been working on this for like- 4 hours i dont know chile anyways so. im kinda not- smart- r
    12·2 answers
  • ILL GIVE BRANILESST PLZ
    15·2 answers
  • What is the Median?<br><br>2,5,1,1,8​
    15·2 answers
  • Split £10 into the ratio 4:1<br>​
    8·1 answer
  • Simplify: 7^x+1 + 7^x / 2×7^x​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!