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
victus00 [196]
3 years ago
13

A coin is rolled three times.find the probability of getting 2 heads​

Mathematics
2 answers:
Setler [38]3 years ago
6 0

There are 8 possible outcomes when you throw a coin three times:

HHH,\ HHT,\ HTH,\ HTT,\ THH,\ THT,\ TTH,\ TTT

Out of these combination, the ones with exactly two heads are

HHT,\ HTH,\ THH

So, 3 combinations out of 8 have exactly two heads. This means that the probability of having two heads with three coin throws is 3/8

san4es73 [151]3 years ago
3 0

Answer:  \bold{\dfrac{3}{8}}

<u>Step-by-step explanation:</u>

Step 1: Numerator

You are looking for an outcome of getting exactly two heads out of a total of three tosses.  This can be written as: ₃C₂

The formula for a combination problem is: \dfrac{n!}{r!(n-r)!}

  • n is the total number of tosses
  • r is the total number of successes (in this case, heads)

_3C_2=\dfrac{3!}{2!(3-2)!}=\dfrac{3\times2\times1}{2\times1\times 1}=3

There are 3 successes (heads)

Step 2: Denominator

You are looking for the total possible combinations of heads and tails for three tosses (2³)

1st toss and 2nd toss and 3rd toss

     2       x          2         x         2       =  8 total possible outcomes    

You might be interested in
21/ 21 What is the equivalent​ decimal?
Leokris [45]

Answer:

1

Step-by-step explanation:

21/21 is whole and the a whole as a whole number is equivalent to 1.

8 0
2 years ago
Read 2 more answers
Rounded to the nearest inch , what is the appoxiomate circumference of a circle with a diameter of 40 inches (Use pi = 3.14
sweet-ann [11.9K]
С = πD 
С = 3,14×40
С = 126 in ← <span>to the nearest inch </span>
3 0
3 years ago
Do you think Earth's climate would be different if Earth's surface was covered by more land than water? Explain your reasoning.
GrogVix [38]
Yes, I feel that if the land was covered with more land the earth may be hotter because water cools the temperture.
4 0
3 years ago
N stands for a whole number 2n is greater than 30, so what does n stand for
Arte-miy333 [17]
N would = 20, because 2x20=40 which is greater than 30 
4 0
3 years ago
Find the missing side. Round your answer to the nearest tenth. 19, 36
Oxana [17]

Answer:

x=110.6

Step-by-step explanation:

sin(19)=36/x. x=36/sin(19)=110.6

4 0
2 years ago
Other questions:
  • Which number line can you use to simplify 2+(-8)?
    9·2 answers
  • Help now please Math
    7·1 answer
  • Choosing an odd number. 1-12. Put it in a fraction
    14·1 answer
  • Which trigonometric ratios are correct for triangle DEF? Check all that apply.
    5·1 answer
  • (x+5)2−(x−2)=A<br> Need help!
    9·1 answer
  • Extra points! Please just show me how to set this up so I can solve, I don't need the answer. Thank you!
    7·1 answer
  • Factor out: <br> 5y^2-2y-7
    10·1 answer
  • Find all possible values for the variables. complete two of the three problems
    13·1 answer
  • A resort hotel rents
    15·2 answers
  • Help me plz :)))))))
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!