Asked Jul 10, 2019
Given P (A and B) 0
0.04, P (B) 0.64, P (B|A) 0.87, what is P (A)?

Image Transcriptionclose

Given P (A and B) 0 0.04, P (B) 0.64, P (B|A) 0.87, what is P (A)?


Expert Answer

Step 1

Conditional probability:

The conditional probability describes that the probability of an event B occurs given another event A has already occurred. Usually, the conditional probability is denoted as P(B|A).

Step 2

Computation of P(A):

Suppose, the two events A and B are not independent, then the probability of A and B is defined as follows.

P(A and B) = P(A) × P(B|A)

Here, P(A and B) is 0.04 and P(B|A) is 0.87.

Substituting the values in the above formu...


Image Transcriptionclose

Р(А and B) - P(А)х Р(B| A) 0.04 - Р(A) x0.87 0.04 Р(A) 3D 0.87 =0.046


Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in




Related Probability Q&A

Find answers to questions asked by student like you
Show more Q&A

Q: A church is holding a raffle and sells 500 tickets for $2 each. If the church awards one $100 first ...

A: Note:Hey there! Thank you for posting the question. Your question says “what is the expected value o...


Q: How many different five​-letter passwords can be formed from the letters A, B, C, D, E, F, G and H i...

A: Permutation rule:From a group of n items, k items can be arranged in ordered ways in,


Q: For this problem, carry at least four digits after the decimal in your calculations. Answers may var...

A: According to the given question,In a random sample of 67 professional actors, it was found that 37 w...


Q: Water use in the summer is normally distributed with a mean of 314.5 million gallons per day and a s...

A: Let X  be the normal random variable with the mean of 314.5 million gallons per day and a standard d...


Q: Seven boys and five girls are going to a county fair to ride the teacup ride. Each teacup seats four...

A: Total number of possible arrangements:There are 12 seats in the ride. The number of people going for...


Q: In a study of environmental lead exposure and IQ, the data was collected from 148 children in Boston...

A: Denote X as the IQ scores. It is given that X is normally distributed, with mean μ = 115.9 and stand...


Q: Three fair coins are tossed. The two possible outcomes for a single coin are​ heads, h, and​ tails, ...

A: Part (a):The sample space is the collection of all outcomes, if a random experiment is performed.In ...


Q: An urn contains two red balls and five blue balls  A. Draw three balls at random drom the urn, witho...

A: Given that there are 2 red balls and 5 blue balls.The total number of ways no. of ways in which 3 ba...


Q: Use a truth table to determine whether this argument is valid or invalid: VALID INVALID p V q TITIT ...

A: The given arguments:The given symbolic form arguments and the argument (not yet verified whether cor...