Suppose a box contains 10 coins, where three of them are type-A and seven of them are type-B. The probability of head is 0.4 if we toss a type-A coin and 0.6 for a type-B coin. One person chooses one coin at random and tosses it three times. What is the probability that this coin is type-A if the outcome is two heads out of three tosses?

Answers

Answer 1

Answer:

0.222

Step-by-step explanation:

Given  that:

For Type A coins = 3

The probability of head in a type A coin i.e. (p) = 0.4

Then, the probability of getting a tail (q) = 1 - p = 1 - 0.4 = 0.6

For Type B coins = 7

The probability of head in a type B coin i.e. (p) = 0.6

Then, the probability of getting a tail (q) = 1 - p = 1 - 0.6 = 0.4

One person who tosses a coin three times get a probability of obtaining a head twice.

Using, the formula:

=[tex]^nC_r \times p^r \times q^{n-r}[/tex]

For Type A coin;

The probability of getting two heads in three tosses is:

[tex]= ^3C_2 \times 0.4^2 \times 0.6^{1}[/tex]

[tex]=\dfrac{3!}{2!(3-2)!} \times 0.4^2 \times 0.6^1[/tex]

= 0.288

For Type B coin;

The probability of getting two heads in three tosses is:

[tex]= ^3C_2 \times 0.6^2 \times 0.4^{1}[/tex]

[tex]=\dfrac{3!}{2!(3-2)!} \times 0.6^2 \times 0.4^1[/tex]

= 0.432

Since we have two heads out of three tosses, the probability that the coin is type A is = (P) of choosing coin A × (P) of obtaining two heads from three tosses) / total probability of getting two heads from three tosses.

However;

(P) of choosing coin A = 3/10 = 0.3

(P) of choosing coin B = 7/10 = 0.7

Given that, we obtain two head from three tosses, the (P) that the coin type is A is:

[tex]= \dfrac{(0.3 \times 0.288)}{ (0.3 \times 0.288 + 0.7 \times 0.432)}[/tex]

[tex]= \dfrac{(0.0864)}{ (0.0864 + 0.3024)}[/tex]

= 0.222


Related Questions

A restaurant bill is $56.39 calculate 20%

Answers

Answer:

$11.29. $56.39 divided by 5, which is 20 percent, gives you around 11.287. Round up, and you get $11.29

Step-by-step explanation:

Answer:

11.278 Is the exact answer.

Step-by-step explanation:

PLEASE MARK BRAINLIEST

7.385 rounded to the nearest tenth

Answers

Answer:

10 lol..................

Answer:

It should be 7.4

Step-by-step explanation:

Simplify by expressing with radicals 3 + sqrt3 = ?

Answers

Answer:

4.73205080757

Step-by-step explanation:

Answer:

3 +[tex]\sqrt{3}[/tex]= 4.73205

PLZ Help Urgent. 15 POINTS, BRAINLY Guaranteed.
Plz Answer honestly or you will be reported.

Expand.
(ab)^5

A: 5ab
B: 5a⋅5b
C: a⋅b⋅b⋅b⋅b⋅b
D: ab⋅ab⋅ab⋅ab⋅ab

Answers

I think answer should be d. Please give me brainlest I hope this helps let me know if it’s correct or not okay thanks bye

Answer:

D)

Step-by-step explanation:

Ok when i saw this ^5 that means the power of five i honestly don't know this is my best guess

Find the slope of the line through the points (5, -3) and (5, 4)

Answers

Answer:

Infinity

Step-by-step explanation:

Let one point is x1, y1 (5, -3)

the other is x2, y2 (5,4)

then slope = (y1-y2)/(x1-x2)

=(-3-4)/(5-5)

=-7/0

=Infinity

So slop is infinite

Sorry if the quality is blurry

Answers

Answer:

False,False,False and last one is true

Write the relation as a set of ordered pairs.

Please help. Thank you.

Answers

Answer:

a

Step-by-step explanation:

because it must write object first before image

Answer: A...

Step-by-step explanation:

they are literally lined up ¯\_(ツ)_/¯

I need help. Thanks

Answers

Answer:

D

Step-by-step explanation:

surface of the semicircle is

1/2*π*r^2=1/2*π*(10/2)^2=1/2*π*5^2

=1/2*π*25=(25/2)*π=12,5*π=12.5*3.14=39.25 approximately 39 square units

surface of the right triangle is

(6*8)/2=48/2=24 square units

so the surface of the shaded area is

surface of the semicircle minus the surface of the right triangle.

39-24=15 square units

A parallelogram has a base of 9 units and a corresponding height of į units. What is its area?

Do not include units (square units) in your answer.

Answers

Answer:

[tex]Area = 9j[/tex]

Step-by-step explanation:

Given

[tex]Base = 9\ units[/tex]

[tex]Height = j\ units[/tex]

Required

Determine the area

Area of parallelogram is calculated as thus:

[tex]Area = base * Height[/tex]

Substitute values for Base and Height

[tex]Area = 9 * j[/tex]

[tex]Area = 9j[/tex]

Hence, the area of the parallelogram whose base is 9 units and height is j units, is 9j

Y is less than 4:
y<4?
Correct me if I'm wrong.

Answers

Answer:

That’s correct

Step-by-step explanation:

y < 4 does mean that y is less than 4. if it helps. Wherever the open side is, means that one is greater. I always look at it like an alligator eating the bigger number

tosta las siguientes preguntas
a) ¿Qué fracción de la barra completa me quiere regalar Memo?
b) ¿Qué fracción de la barra completa me regalaria si decide darme solo la tercera parte de lo que tiene
c) ¿Qué fracción seria si decide darme 275 partes de lo que le queda?
do queremos calcular ura fracción de una fracción, en realidad se traduce en una multiplicacion
one
La cuarta parte de la mitad

Answers

C ig JWJWKKWKWOSjjkk

There are 2,380 seats in the auditorium. There were 35 seats in each row of the auditorium. how many rows are there?

Answers

Answer:

There are 68 rows

Step-by-step explanation:

2,380 divided bye 35 is 68

Answer: 68 rows

Step-by-step explanation:

If this helped you put a thanks and review please?!

At a noodles and company restaurant, the probability that a customer will order a non alcoholic beverage is .53. Find the probability that in a sample of 12 customers at least 9 will order an non alcoholic beverage

Answers

There are .53 and 9 sugar so the 12 customer can eat sugar without tea 787+u

find the value of x and the measure of MNW

Answers

Answer:

VALUE OF X:

3x-13+61 = 90

3x+48 = 90

3x = 42

x = 14

MEASURE OF <MNQ:

3x-13

= 3(14)-13

= 42-13

= 29

Write the equation of a line that is parallel to the line y=3/2x-4 and contains the point (6,-1)

Answers

Answer:

y = 3/2x - 10

Step-by-step explanation:

Parallelism: The same slope but different intercepts

1 - Using the slope and point given find the new y intercept

y = 3/2x + b

-1 = 3/2(6) + b

-1 = 18/2 + b

-1 = 9 + b

-9  -9

-10 = b

2 - Write the new equation using the same slope but different y-intercepts

y = 3/2x + b

y = 3/2x - 10

You buy 4 cases of bottled water and 5 bottles of fruit punch for a birthday party. Each case of bottled water cost $2.75, and each bottle of fruit punch coast $1.35. You hand the cashier a $20 bill. How much change will you receive? Hurry! It’s do today!

Answers

Answer:

$2.25

Step-by-step explanation:

Change

= $20 - total price of the items bought

Total price of bottled water

= 4($2.75)

= $11

Total price of fruit punch

= 5($1.35)

= $6.75

Change

= $20 -($11 +$6.75)

= $20 -$17.75

= $2.25


Which multiplication expression is equal to 1/4 divided by 1/3

Answers

um i think that would probably be something like 2.2
1/4 x 3
OR
4 x 1/3
You flip one fraction

How would you write 1/256^-4 using a positive exponent

Answers

Answer:

Step-by-step explanation:

[tex]\dfrac{1}{256^{-4}}=256^4[/tex]

because for a real and n integer

[tex]a^{-n}=\dfrac{1}{a^n}[/tex]

take n = -4, so -n = 4,  and a =256

thanks

The students in Ms. Garris's class collected items to put in gift baskets for the Senior Center. They collected 12 magazines, 24 bottles of lotion, and 36 packs of sugar free gum. If the students divided the items evenly among the baskets, what is the greatest number of baskets they will be able to make?

Answers

Answer:

24 :)

Step-by-step explanation:

12 divided by 3 = 4

24 divided by 3 = 8

36 divided by 3 = 12

4 + 8 = 12

12 + 12 = 24

-
18 The diagram shows triangle PQR.
Diagram NOT
accurately drawn
P
17.8 cm
360
R
26.3 cm
Calculate the length of PR.
Give your answer correct to 3 significant figures.

Answers

Answer:

The length of PR is 15.8 cm

Step-by-step explanation:

We will solve the question using the cosine rule

In ΔPQR

(PR)² = (PQ)² + (RQ)² - 2(PQ)(RQ)(cos∠Q)

∵ PQ = 17.8 cm

∵ RQ = 26.3 cm

∵ m∠Q = 36°

→ Substitute them in the rule above

∵ (PR)² = (17.8)² + (26.3)² - 2(17.8)(26.3)(cos36)

∴ (PR)² = 316.84 + 691.69 - 936.28(cos36)

∴ (PR)² = 251.0635685

→ Take √ for both sides

PR = 15.8449856

→ Correct it to 3 significant figures

∴ PR = 15.8 cm

The length of PR is 15.8 cm

Number 10 thank you ASAP

Answers

D more information is needed to connect slope and rate of change
I think the answer would be D.

Adrian gets a loan for $500 to go on a trip. He borrows the money at 5% interest for 1 year. Find the interest Adrian will pay on the loan.

Answers

Answer:

Step-by-step explanation:

500*5%= $25.00 interest

For every 2 hours, approximately $1,087 worth of product is sold to consumers. How much money will the company for an entire month (30 days)?

Answers

Answer:

391,248 dollars

Step-by-step explanation:

Answer:

the answer is  $39,128

Step-by-step explanation:

$1087 divided by 2 = 543.4

$543.4 worth of products is sold in 1 hour

$543.4 x 720 =  $39,128

i got the 720 for the hours from 30 day so there is 720 hours in 30 days a whole month (24 x 30 =720)

i hope this helps ;)

sorry if im wrong

Seven more than twice a number is equal to 21​

Answers

Answer:

x = a number

7 + 2x = 21

Subtract 7 from both sides

2x = 14

Divide both sides by 2

x = 7

7 is the only number that makes this sentence true.

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Do the steps in reverse

Subtract 7 from 21

14

Then divide by 2

7

Hope this helps :)

Please consider Brainliest :)

The question is below (This an order of operation question)

Answers

Answer:

lcm of 3 and 9 is 9

3/4 - 3/4 × ( 2/3 + 1/9 )

0/4 × ( 6/9 + 1/9)

0 × 7/9

0

the answer is zero....

Step-by-step explanation:

when u substract and number by itsself u get 0...

when u multiply 0 by a number you get 0...

i hope this helps...

please give me brainliest if possible......

have a great day ahead :)

Answer: 0. 166

Step-by-step explanation: I used the demos scientific calculator I suggest using it it's awesome!

Complete the chart by dragging and dropping the correct value into the table.
64 oz =
_________ lbs
5 gal =
_________ qt
660 yds =
________ mi
¼ miles =
________ yds
24 oz =
_________ c
4 c =
_________ oz
24 ft =
_________ yds
4 mi
_________ ft
2 ¼ T =
_________ oz
40 oz =
_________ qt

Answers

Answer:

64 oz= 4 lbs

5 gal= 20 qt

660 yds = 0.375 miles

¼ miles = 440 yds

24 oz = 3 cups

4 c = 32 oz

24 ft = 8yds

Step-by-step explanation:

how many times does 33 go into 112?

Answers

Answer:

3.3939

rounded off = 3

33 goes in 112 3 times

the sum of the first six terms of a geometric series is 21/16 . if the common ratio is -1/2 , what is the first term?

Answers

Answer:

-84

Step-by-step explanation:

The formula for the nth term of a geometric progression is

Un = ar^n- 1

The sum of the first six terms of a geometric series (U6) = 21/16

Common ratio = -1/2 ,

a = First term ??

21/16 = a × (-1/2 )^6- 1

21/16 = a ×(-2^-1)^5

21/16 = a × -2^-6

Cross Multiply

16 × a × -2^-6 = 21

a = 21/16 × -2^-6

a = 21/16 ×- 1/2⁶

a = 21/16 × -1/64

a = 21 ÷(-1/4)

a = 21 × -4

a = -84

The first term = 84

my favorite snack after a long day at school

Answers

Answer:

My dog

Step-by-step explanation:

Answer:

cheese doodles is it.

Also subscribe to Random Topics trending in youtub.

Step-by-step explanation:

Question 3 :
Furniture of vendor firm recorded in
the books at Rs.2,50,000, were taken
over by the partner at an agreed
value of Rs.1,75,000, the amount to
be debited to partners' capital
account will be:
Rs. 2,50,000
Rs.75,000
Rs.4,25,000
Rs. 1,75,000

Answers

Answer:

Rs. 2,50,000

Step-by-step explanation:

When a partnership distributes inventory items (hot asset) to its partners, the basis of the inventory items is used to record the transaction. Only when partnerships distribute assets other than hot assets will the fair market value of the assets be used to record the transaction.

The logic is that inventory items are valued at lower of cost or market value. This means that inventory items are already valued at FMV or cost, whichever is less. If the partnership recorded the transaction using Rs.1,75,000, then it would have to record a loss, and distributions cannot generate losses to a partnership. The only way to record the inventory items at Rs.1,75,000 is that previously the partnership writes down inventory.

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