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
AnnyKZ [126]
2 years ago
13

Let AA and BB be events such that P(A∩B)=1/73P(A∩B)=1/73, P(A~)=68/73P(A~)=68/73, P(B)=21/73P(B)=21/73. What is the probability

of A ∪BA ∪B, P(A∪B)P(A∪B)?
Mathematics
1 answer:
krok68 [10]2 years ago
5 0

Answer:

P(A \cup B) = \frac{5}{73} +\frac{21}{73} -\frac{1}{73}=\frac{25}{73}

Step-by-step explanation:

Let A and B events. We have defined the probabilities for some events:

P(A') =\frac{68}{73} , P(B) =\frac{21}{73} , P(A \cap B) =\frac{1}{73}

Where A' represent the complement for the event A

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: P(A)+P(A') =1

So for this case we can solve for P(A) like this:

P(A) = 1-P(A') = 1-\frac{68}{73}=\frac{5}{73}

And now we can find P(A \cup B) using the total probability rul given by:

P(A \cup B) = P(A)+P(B) -P(A \cap B)

And if we replace the values given we got:

P(A \cup B) = \frac{5}{73} +\frac{21}{73} -\frac{1}{73}=\frac{25}{73}

And that would be the final answer.

You might be interested in
There are 4 students on a team for a relay race. How many teams can be made from 29 students?
Kaylis [27]

Answer:

7 teams, hoped this helped :)

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
What is −29.9 ÷ 4=
lisabon 2012 [21]

Answer:

b

Step-by-step explanation:

5 0
3 years ago
The problem is in the picture..
Ghella [55]
The correct answer is H correct me if I’m wrong but I looked it up also branilest plz
3 0
2 years ago
Noah and his friend Tyree are involved in a math challenge. Noah solves 115 problems in 2 min. Tyree solves 172.5 problems in 3
Natasha2012 [34]

C) They solve the same number of problems per minute

172.5 Divided by 2

115 divided by 2

= 57.5

6 0
2 years ago
Read 2 more answers
Lana wants to graph the height of an amusement park ride as it travels along the track.
dalvyx [7]
I can’t do this for you, you have to drag the segments into the boxes. The fifth over is A. then you do the first line segment. Then the third. for D you do the fifth over
3 0
2 years ago
Read 2 more answers
Other questions:
  • A local fish market is selling fish and lobsters by the pound. The fish costs $5.25 a pound, while the lobster costs $10.50 a po
    7·2 answers
  • a group of friends are riding bicycles. She takes 4 hours to ride 25.6 kilometers whats there speed?
    8·1 answer
  • Write and solve an equation.
    7·1 answer
  • Svetlana's hair is 4 4 centimeters ( cm cm) long. Her hair grows 1 . 5 cm 1.5cm per month. Svetlana wants her hair to be less th
    13·1 answer
  • Simplify the expression. <br> 4 + 18 ÷ 2 – 1 <br> 20 <br> 22 <br> 12 <br> 10
    5·1 answer
  • What is the property of (6+x)5=6(5)+x(5)?
    5·1 answer
  • Divide the following polynomial and then place the answer in the proper location on the grid.
    5·1 answer
  • Whats the x-intercept and the y-intercept and zero for 2x-3y=18
    7·1 answer
  • Complete the paragraph to show how you can solve problems involving equivalent expressions.
    9·2 answers
  • Can somebody tell me the answer to this please​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!