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
tino4ka555 [31]
3 years ago
5

If you flip a fair coin 4 times, what is the probability that you will get exactly 2 tails

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
4 0

Answer:

<h3>The answer is <u>3/8</u> NOT 50%</h3>

Step-by-step explanation:

One way to solve this problem is to figure out how many ways you can get exactly 222 tails, then divide this by the total number of outcomes you could have gotten. Since every outcome has equal probability, this will be the probability that you will get exactly 2 tails.

How many outcomes are there where you get exactly 2 tails? Try thinking of each outcome as a 4-letter word, where the first letter is "H" if the first coin toss was heads and "T" if it was tails, and so on.

So, the number of outcomes with exactly 2 tails is the same as the number of these words which have 2 T's and 2 H's.

How many of these are there? If we treat all the letters as unique, we'll find that there are 4! different arrangements, overcounting 2! times for every time we only switch the T's around, and 2! times for every time we only switch the H's around.

So, there are <u>4!/2!2!</u> = 6  

​  

<u>4!/2!2!</u>= 6 different outcomes where you get exactly 2 tails.

Altogether, there are 2^4 = 16 total possible outcomes.

So, the probability that you will get exactly 2 tails is <u>6/16</u> = 3/8

​  

You might be interested in
A soda company produces 12 oz cans of soda. The mean volume is 12 oz with a
Lena [83]

Answer:

456

Step-by-step explanation:

11.5 oz would be 2 standard deviations below the mean... z -score = -2    = .0228 (from Z-Score table)

     22.8%   of 2000 = 456

7 0
1 year ago
Rearrange the formula V = 1 3 πr2h for h. A) h = 3V πr2 B) h = V 3πr2 C) h = 3πr2 V D) h = πr2 3V
stiks02 [169]

Answer:

Option a) h=\frac{3V}{\pi r^{2} }

Step-by-step explanation:

The given formula seems to represent the volume of right circular cone. The correct formula is:

V=\frac{1}{3} \pi r^{2} h

We have to rearrange the formula for h. This means we have to move h on one side of the formula and all the other variables and constants on the other side of the equation. This can be done as shown below:

V=\frac{1}{3} \pi r^{2} h\\\\3V=\pi r^{2} h\\\\h=\frac{3V}{\pi r^{2} }

5 0
3 years ago
Look at the street map. What street intersects with Geary Street?
Vinvika [58]
A. Union Street

Hope This Helps!
8 0
2 years ago
Read 2 more answers
Catherine has $54. She plans to spend more than $20 of the money for a painting canvas. The rest will go toward paints. Each tub
Darina [25.2K]
She is buying 4 paint tubes. 4 x 8.5 = 34. 34 - 20 = 14, which is less than 54.
4 0
3 years ago
Read 2 more answers
Can someone please tell me the answer
Vilka [71]

Answer:

36 since they are similer triangles

Longer process:

24/24 = 36/x

solve this and you get 36

8 0
3 years ago
Other questions:
  • 1) Reduza os números abaixo a uma potência de base 2
    15·2 answers
  • HELP MEE!!!
    6·1 answer
  • Find the measures of the angles in the figure.
    14·2 answers
  • A track runner was timed at 3 miles per hour. How many feet per minute did they run?
    7·2 answers
  • Emily volunteered at an animal shelter for a total of 119 hours over 6 weeks. Estimate the number of hours she volunteered each
    9·1 answer
  • Carpet costs $12 per square yard. How much will it cost to carpet a room that is 180 square feet? Please help me 
    11·1 answer
  • Allen is putting weed killer on the field to get ready for planting the directions say on the container to use it for fifth of a
    6·1 answer
  • There are 4 second grade classrooms that share 15 packs of paper. How much paper should each classroom get?
    5·1 answer
  • -8=2/5t solve for t please!
    7·1 answer
  • 2/5 divided by 6/7 in FRACTION FORM<br><br> no links, out of context answers, or vile comments, ty
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!