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
mina [271]
2 years ago
9

The results of rolling a 6-sided die 120 times are given in the table below.

Mathematics
1 answer:
Bas_tet [7]2 years ago
5 0

Step-by-step explanation:

According to the results of rolling a 6-sided die 120 times, we have:

Rolling a 2:

Experimental = 15/120 = 1/8 = 0.125 = 12.5%

Theoretical = 20/120 = 1/6 = 0.1667 = 16.67%

Rolling a 1:

Experimental = 18/120 = 3/20 = 0.15 = 15%

Theoretical = 20/120 = 1/6 = 0.1667 = 16.67%

Rolling a 1 or 6:

Experimental = 18/120 + 20/120 = 38/120 = 19/60= 0.3167 = 31.67%

Theoretical = 20/120 + 20/120 = 40/120 = 1/3 = 0.3333 = 33.33%

Step-by-step explanation:

1. First of all, let's recall what is the difference between experimental and theoretical probability of an event.

The experimental probability is the result of an experiment, and the theoretical probability is based on the mathematical model developed in the theory of probability.  In simple words, the most important difference is that the experimental probability is based on what actually happens and the theoretical probability on what is expected to happen.

The accuracy of the results of the experiments depends directly on the sample size of the experiment and the accuracy is greater when the sample size is larger.

For this particular event the theoretical probability is the same for rolling each number of the die, 1/6 or 16.67%

Now, let's complete the answer this way:

Rolling a 2:

Experimental = 15/120 = 1/8 = 0.125 = 12.5%

Theoretical = 20/120 = 1/6 = 0.1667 = 16.67%

Rolling a 1:

Experimental = 18/120 = 3/20 = 0.15 = 15%

Theoretical = 20/120 = 1/6 = 0.1667 = 16.67%

Rolling a 1 or 6:

Experimental = 18/120 + 20/120 = 38/120 = 19/60= 0.3167 = 31.67%

Theoretical = 20/120 + 20/120 = 40/120 = 1/3 = 0.3333 = 33.33%

You might be interested in
Kara's playlist has three songs: • "Each Day" (3 minutes) • "Best Friends" (3 minutes) • "This Weekend" (2 minutes) How many tim
Vikentia [17]

Answer:

4 times

Step-by-step explanation:

35/(3+3+2) = circa 4

5 0
3 years ago
Read 2 more answers
Daniel has a 3/4 pound bag of dog
Leya [2.2K]

Answer: 6 days

Step-by-step explanation:

if you make them into common denominators, it would be 6/8, so it would last 6 days

5 0
2 years ago
Read 2 more answers
Suppose statement p is true but statement q is false. Which of these compound statements are true? Check all that apply. p ∧ q,
mafiozo [28]

Answer:

P -> p, p ^ q

4 0
3 years ago
Read 2 more answers
1-cos^2 A / sec^2 A - tan^2 A
tiny-mole [99]
I hope this helps you



✔cos^2A+sin^2A=1


✔1-cos^2A=sin^2A

✔cos2A=cos^2A-sin^2A

✔sin2A=2.sinA.cosA


secA=1/cosA


tgA=sinA/cosA


sin^2A/1/cos^2A-sin^2A/cos^2A


sin^2A.cos^2A/cos2A

2.sin^2A.cos^2A/cos2A


sin2A.2.sin2A/cos2A


tg2A.2.sin2A


6 0
3 years ago
Can someone please help me answer this
maria [59]

Answer:

(-2,6)

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Other questions:
  • The height and base dimensions of a pyramid are shown in the diagram.
    8·1 answer
  • Define what 180 degrees means in math(for geometry)
    15·2 answers
  • -2 X-9=3. Please help<br> 3
    5·2 answers
  • Charlie is the quarterback for the cougars football team. His team had three penalties in a row for -5 yards each. How many yard
    6·1 answer
  • Corresponding angles are _______________.
    13·1 answer
  • A family uses 15 gallons of milk every 3 weeks. At that rate, about how many gallons of milk will they need to purchase in a yea
    15·1 answer
  • What is the simplified version of 4+5y-6y+y
    13·2 answers
  • Find the intercepts of f(x)= x-4(x-2)^1/3
    11·1 answer
  • HELP HELP HELP HELP HELP HELP
    14·1 answer
  • Whats the answer, I'll give branliest to the correct one, with an explanation. I'll report random answers
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!