The probability of two events A and B happening simultaneously is 0.17. The probability of only event A happening is 0.34. Find the probability of event B happening, if event A has already happened

Answers

Answer 1

Answer:

because is the probability is 0.17 and 0.34 is fair

Answer 2

You can use the multiplication rule of probability.

The probability of event B happening if event A has already happened is 0.5

What does general multiplication rule of probability says for 2 events A and B?

[tex]P( A \: \rm and \: B) = P(A)P(B|A) = P(B)P(A|B)[/tex]

Since we've to find the probability of B given that A has already happened, we need [tex]P(B|A)[/tex]

Since the probability of both event A and event B happening simultaneously is 0.17, thus:
[tex]P(A \: \rm and \: B) = 0.17\\ [/tex]

Since the probability of only event A happening is 0.34, thus:

[tex]P(A) = 0.34[/tex]

Thus, from the multiplication rule, we have:
[tex]P(A \: \rm and \: B) = P(A)P(B|A)\\ 0.17 = 0.34 \times P(B|A)\\\\ \dfrac{0.17}{0.34} = P(B|A)\\\\ P(B|A) = \dfrac{1}{2} = 0.5[/tex]

Thus, we have the probability of event B happening when A has already happened as 0.5

Learn more about multiplication rule of probability here:

https://brainly.com/question/14450597


Related Questions

50 POINTS!!!


Please I need fast and correct answer. I will award best answer with brainliest!!!

Answers

Answer:

[tex]measure angle 1 = 62 ------> given\\measure angle 4 = 62 --------> vertical angle theorem[/tex]

Step-by-step explanation:

vertical angle theorem states that the angle vertical from another angle has to be congruent

p.s. i found it

i need help with these 9 questions they’re pretty simple

Answers

Answer:

1. n = 4

2. n = -29

3. n = -28

4. n = -48

5. n = -22

6. n = 97

7. n = 220

8. n = -18

9. n = 36

Step-by-step explanation:

1. -n = -4

Multiply both by -1 to get n = 4

2. 12 + n = -17

Subtract 12 from both sides of the equation to get n = -29

3. -n/14 = 2

Multiply by 14 on both sides of the equation to get -n = 28

Multiply -1 on both sides of the equation to get n = -28

4. -42 = n + 6

Subtract 6 from both sides of the equation to get -48 = n or n = -48

5. -4n = 88

Divide -4 on both sides of the equation to get n = -22

6. n + -3 = 94

Add 3 to both sides of the equation to get n = 97

7. 11 = -n/-20

Multiply by -20 on both sides of the equation to get -220 = -n or -n = -220

Multiply -1 on both sides of the equation to get n = 220

8. -108 = 6n

Divide by 6 on both sides of the equation to get -18 = n or n = -28

9. 67 = 31 + n

Subtract 31 from both sides of the equation to get 36 = n or n = 36

I Hope That This Helps! :)

A local charity is making fruit baskets for elderly citizensbin the neighborhood. Each badket have 15:pieces of fruit. They brought 1,620 pieces of fruit total. Without completing the division, choose Yes or No for each statements

Answer
They can make at least 1,000 baskets
They can make at least 10 baskets

Answers

Answer:

Yes, no, no

Step-by-step explanation:

Answer:10 baskets yes

100 baskets yes

1000 baskets no

Step-by-step explanation:

I just need help with this please.

Answers

Answer:

-5/2 is located on the left of -1

Step-by-step explanation:

(PLEASE HELP ASAP!!!)Micheal has five different stocks that he watches on a daily basis. The table shows the change in each stock price in dollars at the end of a trading day.

What is the correct order of the rational numbers in the table from least to greatest?

A) -1.5, 2.9, -1/2, 3 3/4, 4.6

B) -1/2, -1.5, 2.9, 3 3/4, 4.6

C) -1.5, -1/2, 2.9, 3 3/4, 4.6

D) 4.6, 3 3/4, 2.9, -1/2, -1.5

Answers

Answer:

C

Step-by-step explanation:

One month Jenny rented 6 movies and 2 video games for a total of $30. The next month she rented 3 movies and 5 video games for a total of $36. Find the rental cost for each movie and each video game.

Answers

Answer: The rental cost for each movie is $3.25 and each video game is $5.25.

Step-by-step explanation:

Let x = rental cost for each movie

y = rental cost for each video game.

As per given , we have

6x+2y= 30    (i)

3x+5y = 36     (ii)

Multiply 2 on both sides of (ii)

6x+10y=72   (iii)

Eliminate (i) from (iii)

8y=42

⇒ y= 5.25

Put y=5.25 in (ii)

3x+5(5.25)=36

⇒  3x+26.25 =36

⇒  3x = 36-26.25

⇒  3x =9.75

⇒  x = 3.25   [Divide both sides by 3]

Hence, the rental cost for each movie is $3.25 and each video game is $5.25.

Answer:

2.25 movie

5.25 video game

Step-by-step explanation:

:)

30 points!!!
Which graph represents the following system of inequalities?
{y < -2x+4
{y < x+3
{x < 3

Answers

Answer: Hi wadfasd here plz mark brainliest and answer can be found below ↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓

I think the answer is the 4th one but let me know if i am wrong!

Step-by-step explanation:

how many solutions are there 14x + 6 = 2(5 + 7x) - 4

Answers

Answer:

infinitely many solutions

Step-by-step explanation:

14x + 6 = 2(5+7x)-4

14x + 6 = 10 + 14x - 4

14x + 6 = 14x + 6

infinitely many solutions because both sides of the equation are equal

HELP NOW PLEASE ITS EASY

Answers

Answer:

B, B, A, A, B, B

Step-by-step explanation:

i think this is the correct answer! lmk if its good! :)

Given: AB=BC, D is the midpoint of AB, and E is the midpoint BC. Prove: AD=BE

Answers

Answer:

Using mid point theorem, A line segment joining the mid points of the two sides of the triangle, is equal to half the length of the third side.

D and E are the mid points. Hence,

DE=

2

1

AC

DE=

2

1

(6.4)

DE=3.2cm

Answer:

AD=BE

Step-by-step explanation:

Because AB and BC are equal, their lengths are also equal and also it is an Isosceles triangle. Therefore the midpoint of AB or the half of AB which is either AD or DE are equal. Vice versa for BC. So AD=BE


Evaluate the expression
b(a + c)
when a= = -3, b= -4, and c= 2

Answers

Step-by-step explanation:

b(a + c)

=-4(-3+2)

=12-8

=4

Answer:4

Step-by-step explanation:

Steps a (-3) add c (2) is -1

Then you have to times -1 by -4 which is 4 :D

What is the slope of this line?
Answer:
-1/5
1/5
5
-5

Answers

The answer is going to be 1/5, rise 1 and go to the right 5 times so it’s 1/5

Multiply. Enter your answer as a simplified mixed number.
-4(7/10)
The product is:

Answers

Answer:

−2.8 or - 2 8/10

Step-by-step explanation:

hope that helps

The temperature of a cup of coffee changed by -54 Fahrenheit over 22 and 1/2 minutes. What was the change in temperature each minute?

Answers

Answer:

-2 2/5 F per minute

Step-by-step explanation:

Temperature change:

- 54 F over 22 1/2 min

Change in 1 minute:

-54 / 22 1/2 = -54 / (45/2) =-54*2 / 45 =-108 / 45 =-2 18 / 45 =-2 2/5 F/min

The vertices of a triangle are as follows: (6, -3), (1, 5), and (8, -4) If you dilate the triangle by a scale factor of 3, what are the vertices of the new triangle?

Answers

(18, -9) (3, 15) (24, -12)



Kevin is 150.5 centimeters tall. His older brother, Darrell is 1.2 times as tall as him.
How tall is Darrell? *

A) 125.42 centimeters
B)170.57 centimeters
C) 180.6 centimeters
D) 251.5 centimeters

Answers

You just have to multiply 150.5 times 1.2 and you get 180.6

12345678912345678991-12345678912345678912

Answers

The answer is 0 lol

2 1/7 divided by 1 2/5

Answers

The answer to the problem would be 5/7. Hope this helps.

factorize 20m2²-80mn²​

Answers

Answer:

40m - 160m = 120m

Step-by-step explanation:

help, brainliest to whoever answers

Answers

Answer: 45
Plug in 150 for s in the equation and solve
The answer is $45

150(.50)-30= 45

Hope this helps :)

Eve and Carrie go bowling, Carrie scores 23 more
points than Eve. Their score is 247 points. How mang
Points does each friend score?

Answers

Carrie has 135
Eve has 112

Harold cut 18 1/2 inches off a rope that was 60 inches long.

Answers

Answer:

41.5?

Step-by-step explanation:

is that it to the question or is there more?!?!

Answer:

0.42

Step-by-step explanation:

60-18= 42

42/100=0.42

(Hope this helped! :D)

A car drives 120 miles in 2 hours Find the speed

Answers

Answer:

60 miles per hour

Step-by-step explanation:

Divide 120 miles by 2 hours and you get 60 miles per hour.

Answer:

60 mph

Step-by-step explanation:

120/2=60

If the car drives 120 miles in 2 hours, divide 120 by 2 to get the unit rate

blank over five plus eighteen over twenty equals thirty over twenty

Answers

Answer:

3 and i use flvs too, also that pfp is fire

Step-by-step explanation:

Answer:

the answer is 3

I WILL GIVE BRAINLIEST TO FIRST RIGHT ANSWER

Answers

Answer:

5.7 m/s

Step-by-step explanation:

Approximate rate of change:

(25.1 - 2.3)/(4 - 0) =22.8/4 = 5.7 m/s

A quality control group found 7 defects for every 1250 units produced. If 8750 products were produced how many defects were there?

Answers

49 defects hope this helps :)

Whats the rate and unit rate for 7 pencils for 9 dollars

Answers

Answer:

7 to 9

Step-by-step explanation:

75 = 17 ÷2×93871788=?
?÷748267818=?
?+7376818938÷7477818199×89=?​

Answers

Answer:

YOUR MOM

Step-by-step explanation:

LOLOLOLOLOLOLOLOLOLOLOLOLOLOLOLOLOLOLOLOLOLOLOLOLO)LOLOLOLOLLOllll

Need help asap! Complete the table below.

Answers

Answer:

Step-by-step explanation:

if the speed is 6 bracelets per hour then the table will go like this

2   12

5  30

7  42

11  66

16 and 2/3  hours is 100 bracelets

In​ 2010, the population of some countries was 1,200,000 people. From 2010 to​ 2050, the population is expected to increase by ​50%. Find the expected population of the country in 2050.

The population of the country in 2050 is expected to be ______people. ​(Simplify your​ answer.)

Answers

Answer:

7,200,000

Step-by-step explanation:

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