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
sdas [7]
3 years ago
11

An envelope contains three cards: a black card that is black on both sides, a white card that is white on both sides, and a mixe

d card that is black on one side and white on the other. You select one card at random and note that the side facing up is black. What is the probability that the other side is also black?
Mathematics
1 answer:
Over [174]3 years ago
5 0

Answer:

There is a  2/3  probability that the other side is also black.

Step-by-step explanation:

Here let B1: Event of picking a card that has a black side

B2: Event of picking a card that has BOTH black side.

Now, by the CONDITIONAL PROBABILITY:

P(B_2/B_1 )  = \frac{P(B_1\cap B_2)}{P(B_1)}

Now, as EXACTLY ONE CARD has both sides BLACK in three cards.

⇒ P (B1 ∩ B2) = 1 /3

Also, Out if total 6 sides of cards, 3 are BLACK from one side.

⇒ P (B1 ) = 3 /6 = 1/2

Putting these values in the formula, we get:

P(B_2/B_1 )  = \frac{P(B_1\cap B_2)}{P(B_1)} = \frac{1}{3}  \times\frac{2}{1} = \frac{2}{3}

⇒ P (B2 / B1)  =  2/3

Hence, there is a  2/3  probability that the other side is also black.

 

You might be interested in
Solve -12 = z ÷ 3 for z. z =
mash [69]

Answer: z = −36

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

-12 = 1/3z

Step 2: Flip the equation.

1/3x = -12

Step 3: Multiply both sides by 3.

3* (1/3z) = (3) * (-12)

6 0
3 years ago
Read 2 more answers
A bag contains 6 red marables and 12 blue ones you select one marable at random from the bag what is the probability that you se
-BARSIC- [3]

Answer:

1/3

Step-by-step explanation:

The total number of marbles is

6+12 = 18

P( red) = red/total

           = 6/18

           =1/3

3 0
3 years ago
Read 2 more answers
Which of the following is the best answer to 4/5 minus 2/3
ella [17]

Answer:

2/15

Step-by-step explanation:

4/5-2/3 = 12/15-10/15 = 2/15

So 2/15 is your answer

6 0
3 years ago
Read 2 more answers
You ask 200 randomly chosen students to name their favorite ice cream flavor. There are 1800 students in the school. Based on th
Kaylis [27]

Answer:

351

Step-by-step explanation:

Complete question :

Vanilla= 36

Chocolate=21

Strawberry=24

Chocolate Chip=39

SOLUTION:

39 chocolate chip to 200 students = x chocolate chip to 1800 students

39/200 = x / 1800

Solving for 'x'

(200)(x) = (39)(1800)

200x = 70200

x = 70200/200

x = 351

OR

39 out of 200 picked chocolate chip

therefore, 39/200 = 0.195 = 19.5%  ( 32.5% chose chocolate chip)

19.5% of 1800 = 0.195(1800) = 351 students

6 0
3 years ago
The Lewis family and the Perry family each used their sprinklers last summer. The water output rate for the Lewis family's sprin
Rashid [163]

The Lewis family and the Perry family each used their sprinklers last summer. The water output rate for the Lewis family's sprinkler was 15 L per hour. The water output rate for the Perry family's sprinkler was 40 L per hour. The families used their sprinklers for a combined total of 65 hours, resulting in a total water output of 1850 L . How long was each sprinkler used

Answer:

Hours of use of sprinkler by Lewis family is 30 hours.

Hours of use of sprinkler by Perry family is 35 hours.

Step-by-step explanation:

Let W = hours of use by Lewis family

65 - W = hours of use by Perry family

Then;

15W + 40*(65 - W) = 1850

15W + 2600 - 40W = 1850

(15 - 40)W = 1850 - 2600

-25W = −750

W = 750/25 = 30

Therefore;

W = 30

65 - W = 65 - 30 = 35

Hence,

Hours of use by Lewis family is 30 hours.

Hours of use by Perry family is 35 hours.

3 0
3 years ago
Other questions:
  • 5/6 divided by 2 3/10
    15·1 answer
  • I don’t know how to do the can y’all explain and give me the answer pls
    13·1 answer
  • Greg needs at least $1.60 in stamps to mail a package. He has 28 cents and 4 cent stamps. He can use no more than twenty 4 cent
    5·1 answer
  • The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.63 inches and a standard deviati
    9·1 answer
  • Choose the correct conic section to fit the equation. X=1/16y^2
    14·1 answer
  • The bus fare in a city is People who use the bus have the option of purchasing a monthly coupon book for With the coupon​ book,
    11·1 answer
  • hello I'm not getting this question can you please help me (A piece of thread is 11 over 12 inches long. Jenny needs to cut the
    8·1 answer
  • Will mark brainliest
    7·1 answer
  • #<br> #1 Fill in the missing values<br> in the table below:
    15·1 answer
  • My head hurts help will ya?​
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!