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
tatiyna
2 years ago
11

Two coins are in a hat. The coins look alike, but one coin is fair (with probability 1/2 of Heads), while the other coin is bias

ed, with probability 1/4 of Heads. One of the coins is randomly pulled from the hat, without knowing which of the two it is. Call the chosen coin "Coin C". Coin c is tossed twice, showing heads both times. Given this information, what is the probability that coin c is the fair coin?
Mathematics
1 answer:
Archy [21]2 years ago
4 0

Answer:

0.8 or 80%

Step-by-step explanation:

The probability that the fair coin was picked and then tossed twice showing heads both times is:

P(F) = 0.5*0.5^2\\P(F)=0.125

The probability that the biased coin was picked and then tossed twice showing heads both times is:

P(B) = 0.5*0.25^2\\P(B)=0.03125

Therefore, the probability that the chosen coin is the fair coin is:

P(C=F) = \frac{P(F)}{P(F)+P(B)}=\frac{0.125}{0.125+0.03125} \\P(C=F) = 0.8 = 80\%

The probability is 0.8 or 80%

You might be interested in
Mustafa’s horse ate 6,400 pounds of hay last year. How could Mustafa determine the number of tons of hay his horse ate last year
Alona [7]

Answer:

by dividing 6,400 by 2,000

Step-by-step explanation:

We know that 2000 pounds  equals 1 ton

To convert 6400 pounds to tons, we need to

6400 pounds * 1 ton/2000 pounds

Divide 6400 by 2000

3 0
3 years ago
jamerra received a $3,00 car loan. she plans on paying off the loan in 2 years. at the end of 2 years, jamerra will have paid $4
leonid [27]

The rate of interest is 75 % per year

<em><u>Solution:</u></em>

Given that, Jamerra received a $3,00 car loan

she plans on paying off the loan in 2 years

<em><u>Jamerra will have paid $450 in interest</u></em>

Therefore, we get

Principal = $ 300

Number of years = 2

Simple Interest = $ 450

Rate of interest = ?

<em><u>The simple interest is given by formula:</u></em>

simple\ Interest = \frac{p \times n \times r}{100}

Where,

"p" is the principal and "n" is the number of years and "r" is the rate of Interest

<em><u>Substituting the given values we get,</u></em>

450 = \frac{300 \times 2 \times r}{100}\\\\450 = 3 \times 2 \times r\\\\6r = 450\\\\r = \frac{450}{6}\\\\r = 75

Thus rate of interest is 75 % per year

5 0
2 years ago
Given that a function, g, has a domain of -20 sxs 5 and a range of 5 s 39 s 45 and that g(0) = -2 and g(-9) = 6, select the stat
luda_lava [24]

Answer:

option (B) and (D)

Step-by-step explanation:

It's just basic of domain and range just check out the domain and range you can get your answer .

Only option (B) and (D) satisfy in the given range and domain

8 0
3 years ago
Can someone help me with this math problem
Elis [28]

Answer:

C. Divide both sides of the equation by -2.

Step-by-step explanation:

The goal of the equation is to isolate x. In order to do that we have to remove the '-2' by doing the inverse operation. That is the opposite operation, for example addition and subtraction, multiplication and division.

Since x is being multiplied by -2, we do the inverse which is division.

5 0
3 years ago
How to find surface area of a triangular prism
Marrrta [24]
Here is the formula: b•h/2
3 0
3 years ago
Other questions:
  • Which describes the number and type of roots of the equation 4x^3-6x^2+15x+2=0?
    13·1 answer
  • In the number 956,783,529 how does the value of the digit 5 in the ten millions place compare to the 5 in the hundreds place
    12·1 answer
  • Recall the quotient rule
    8·1 answer
  • How do you do advanced order of operations? Need help on my homework!
    13·1 answer
  • Find the value of x to the nearest tenth.
    5·1 answer
  • You drive 132 miles in 3 hours. At<br> that speed, how many miles could you drive in 4 hours?
    10·1 answer
  • Plzzz helpppp333332222222222
    5·2 answers
  • Write the number in scientific notation (question) ​
    5·1 answer
  • 1.) Mr. Tomlinson earns $17.50 per hour at his job. When he works over 40
    15·1 answer
  • Pablo built a large wooden storage box. The box was in the shape of a rectangular prism, as shown below. He covered all the side
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!