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
meriva
3 years ago
5

Calculating conditional probability

Mathematics
1 answer:
laila [671]3 years ago
6 0

Complete Question

Calculating conditional probability

The usher at a wedding asked each of the 80 guests whether they were a friend of the bride or of the groom.

Here are the results:

Bride :29

Groom :30

BOTH : 20

Given that a randomly selected guest is a friend of the groom, find the probability they are a friend of the bride.

P (bride | groom)​

Answer:

The probability is P(B|G) = \frac{2}{3}

Step-by-step explanation:

The sample size is n =  80

The friend of the groom are G = 30

 The friend of the groom are B  = 29

 The friend of both bride and groom are Z = 20

The probability that a guest is a friend of the bride is mathematically represented as

      P(B) =  \frac{29}{80}

The probability that a guest is a friend of the groom is mathematically represented as

       P(G) =  \frac{30}{80}

The probability that a guest is both a friend of the bride and a friend of the groom is mathematically represented as

       P(B \ n  \ G) = \frac{20}{80}

Now

    P(B|G) is mathematically represented as

     P(B|G) = \frac{P(B \ n \ G)}{P(G)}

     Substituting values

       P(B|G) = \frac{\frac{20}{80} }{\frac{30}{80} }

      P(B|G) = \frac{2}{3}

     

You might be interested in
Randall makes chilli for a cold winter night. To make 7 servings, he uses 12 1/4 cups of diced tomatoes. How many cups of diced
grigory [225]

Answer:

1.25 cups of diced tomatoes

Step-by-step explanation:

1.  12 1/4 ÷ 7

2. = 49/4 x 1/7

3.  =49/28

4. =7/4

5. =1 1/4 or 1.25

I hope this was helpful

6 0
3 years ago
Choose the correct simplification of the expression (2x7y)2(y5)3.
adoni [48]

Im taking this to mean (2 x^7 y)^2 (y^5)^3


= 4x^14 y^2 * y^15


= 4x^14 y^17 which is option 4

8 0
3 years ago
Read 2 more answers
What is the answer to this?
PSYCHO15rus [73]

Answer:

i can only say that you should use this forumla, the sins law

sin(a)/A = sin(b)/B = sin(c)/C

Step-by-step explanation:

7 0
3 years ago
As a salesperson for an electronic parts distributor, you are given two options for your salary structure. The first option has
kumpel [21]

Answer:

The amount of sale is approximately 5714.

Step-by-step explanation:

Let x be the sales made that will result to the same salary and let y be the same weekly salary.

We can represent both salaries as follows:

300 + 0.04x = y

100 + 0.075x = y

Subtracting the second equation from the first, we have:

200 – 0.035x = 0

0.035x= 200

x = 200/0.035

x ≈ 5714.

Therefore, the amount of sale is approximately 5714.

3 0
3 years ago
A workers regular hourly rate of pay is $13. What is the workers total pay for working 40 regulars and 3 hours overtime at a rat
ANTONII [103]

Answer:

578.50

Step-by-step explanation:

The worker worked 40 hours at 13 dollars

40 * 13 =520

Then they worked 3 hours at 13(1.5) or 19.50

3*19.50 =58.5

The total amount of money earned is regular time plus overtime

520 + 58.5 =578.50

3 0
3 years ago
Other questions:
  • The graph of g(x) is a transformation of the graph of f(x)=4x .
    7·2 answers
  • For the feasibility region shown below, find the maximum value of the function P=3x+2y.
    5·2 answers
  • Please help I’m not sure how to do this
    6·2 answers
  • BRIANILEST!!!! Lines and are parallel in the image below. The image will be used to prove that the sum of the measures of the in
    13·1 answer
  • Math question down below
    7·1 answer
  • How would you solve for x and y?
    12·1 answer
  • A rectangle has sides measuring (2x + 7) units and (5x + 9) units. Part A: What is the expression that represents the area of th
    13·1 answer
  • When you identify what goals are conflicting, it is a part of
    14·1 answer
  • Find f(3) for f(x)=1/2(4)^x.<br> O A. 32<br> O B. 64<br> O c. 6<br> 6<br> O D. 8
    13·1 answer
  • Lee is traveling by train to visit his grandmother. After 1 hour, he has 270 miles left to travel. After 2 hours, he has 180 mil
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!