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
Serjik [45]
2 years ago
14

If A and B are events with P(A)=0.7, P(A OR B)=0.77, and P(A AND B)=0.13, find P(B).

Mathematics
1 answer:
Rufina [12.5K]2 years ago
5 0

Answer:

  P(B) = 0.20

Step-by-step explanation:

For these events, which are not independent or mutually exclusive, the relation between the various probabilities is ...

  P(A or B) = P(A) +P(B) -P(A and B)

Solving for P(B), we find ...

  P(B) = P(A or B) +P(A and B) -P(A)

  P(B) = 0.77 +0.13 -0.7 = 0.20

The probability of B is 0.20.

__

<em>Additional comment</em>

The formula applies to independent and mutually exclusive events, as well. For independent events, P(A and B) = P(A)·P(B). For mutually exclusive events, P(A and B) = 0.

You might be interested in
How do I solve this ?
Burka [1]
Your answer would be 
8y^7
-------
3X^3
5 0
3 years ago
Can someone help me with this question???
Softa [21]
Guys I got my amazon gift gift card for hdusvxdhhsgevd xhx xhs d
4 0
3 years ago
It cost Alexandra $9.90 to send 198 text messages. How many text messages did she send if she spent $2.35?
tatiyna

Answer:

77

Step-by-step explanation:

4 0
4 years ago
Read 2 more answers
Generate and solve another division problem with the same quotient and remainder as the two problems below.explain your strategy
Andrew [12]

Answer:

ITS AN ASSESMENT THIS VIOLATES THE HONOR CODE

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
John’s teacher wants to buy giant cookies for the entire class of cookies cost $2.40 each write an equation that shows how many
krek1111 [17]
40 ÷ 2.40= 16.66
the teacher can buy 16 cookies
4 0
3 years ago
Other questions:
  • Find the orthocenter of a triangle ABC with vertices at A(2, 2), B(0, -4), and C(6, -2).
    6·1 answer
  • In a fruit cocktail, for every 30 ml of orange juice you need 45 ml of apple juice and 25 ml of coconut milk. What proportion of
    10·1 answer
  • 1. solve the following pair of simultaneous equations.
    13·2 answers
  • Which expression is represented by the phrase "the square of y decreased by the quotient of 28 and 7?
    12·2 answers
  • Free 50+ Points!
    9·2 answers
  • Which expression is equivalent to (4x^3)(2x)^-4
    7·2 answers
  • In a country that only wants girls, every family continues to have children until they have a girl. If they have a boy, they hav
    5·1 answer
  • -a2 - 2bc -lcl if a = -3, h = -5,<br> and c = 2
    12·1 answer
  • I am not able to solve this problem​
    10·1 answer
  • What is an equation of the line that passes through the point (-5,-6)(−5,−6) and is parallel to the line x+5y=25x+5y=25?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!