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tatiyna
3 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]3 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%

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6 0
1 year ago
The graph of the function B is shown below. If B(x) = -1, then what is x?
GREYUIT [131]
The answer is c, 2.To find this, look on the graph for a point with the y value of -1. (2,-1) is the solution.
3 0
3 years ago
Read 2 more answers
The cost of 90 kg of rice is 4500. what is the cost of 2 quintal of rice?​
gayaneshka [121]

Answer:

The cost of 2 quintal of rice is $10,000.

Step-by-step explanation:

To determine the cost of 2 quintals of rice, knowing that 90 kilos of said product is worth $ 4,500, it is first necessary to establish the equivalence between quintals and kilograms. In this regard, a quintal is equivalent to 100 kilograms, so 2 quintals are equivalent to 200 kilos.

Now, to determine the cost per kilogram of rice, the following calculation is required:

4,500 / 90 = X

50 = X

Therefore, 1 kilogram of rice costs $ 50. Thus, since 200 x 50 equals 10,000, 2 quintals of rice will cost $ 10,000.

5 0
3 years ago
For brainiest:):):):):):):):)
mars1129 [50]

Answer:

A1) 125

A2) 47.5%

B) 30

Step-by-step explanation:

Remember 'of' in this sentence means times(*). % shows a certain number/100.

a1) 48% 'of' what number is 60?

(let unknown number be x)

48/100 *x=60

Solve the equation, and the answer is x=125

a2) what percentage 'of' 120 is 57?

(let the unknown percentage be x)

(x/100)*120=57

x=47.5%

b) 24 students= 80% of the total number of students

1%=24/80

100% of the total number of students=30

So, there are total of 30 students

8 0
3 years ago
patsy's pizzeria sold 3 5/6 vegetables pizzas yesterday. they sold 3 times as many pepperoni pizzas. how many pepperoni pizzas d
dsp73

Answer:

11.5

Step-by-step explanation:

3 x  3 5/6

3 x 23/6

=69/6

=11.5

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3 years ago
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