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
lesantik [10]
3 years ago
7

A basketball team is to play two games in a tournament. The probability of winning the first game is .10.1 the first game is won

, the probability of winning the second game is 15. If the first game is lost, the probability of winning the second game is 25. What is the probability the first game was won if the second game is lost? Express the answer with FOUR decimal points.
Mathematics
2 answers:
Nutka1998 [239]3 years ago
5 0

Answer:

P(\frac{A}{B'})=0.111

Step-by-step explanation:

Given:

The probability of winning the first game is 10.1

The first game is won

The probability of winning the second game is 15

If the first is lost, the probability of winning the second game is 25

Solution:

P(B)=P(A)P(\frac{B}{A})+P(A')P(\frac{B}{A'})\\      =0.1(0.15)+(0.3)*0.25)\\P(B)=0.24 ------(1)\\P(\frac{A}{B})=\frac{P(\frac{B}{A})P(A) }{P(B)}\\                     =\frac{0.15(0.1)}{0.24}\\                     =0.0625 ------(2)\\P(B')=1-P(B)=0.76 ------(3)\\P(A)=P(B)P(\frac{A}{B})+P(B')P(\frac{A}{B'})\\0.1=0.24(0.0625)+0.76(p(\frac{A}{B'} ))\\P(\frac{A}{B'})=0.111

Lyrx [107]3 years ago
5 0

Answer:

P(W_1/W_2')=0.1110

Step-by-step explanation:

Probability of winning the first game be considering the given factors be, W_1=0.1

Probability of winning the second game be considering the given factors be, W_2= probability of winning the second game when the first game is won + probability of winning the second game when the first game is lost:

P(W_2)=P(W_1).P(W_2/W_1)+P(W_1').P(W_2/W_1')

P(W_2)=0.1\times 0.15+0.9\times 0.25

P(W_2)=0.24

<u>Hence the probability of losing the second game:</u>

P(W_2')=1-P(W_2)

P(W_2')=0.76

<u>Probability of winning the first game when the second game is won:</u>

P(W_1/W_2)=\frac{P(W_2/W_1).P(W_1)}{P(W_2)}

P(W_1/W_2)=\frac{0.15\times 0.1}{0.24}

P(W_1/W_2)=0.0625

Probability of winning the first game be considering the given factors, W_1= probability of winning the first game when the second game is won + probability of winning the first game when the second game is lost:

P(W_1)=P(W_2).P(W_1/W_2)+P(W_2').P(W_1/W_2')

0.1=0.24\times0.0625+0.76\times P(W_1/W_2')

P(W_1/W_2')=0.1110

You might be interested in
What is the solution to the equation? 2 x squared plus 4 equals 20 Choose all answers that are correct.
Stolb23 [73]
2x^2+4=20\ \ \ \ |subtract\ 4\ from\ both\ sides\\\\2x^2=16\ \ \ \ \ |divide\ both\ sides\ by\ 2\\\\x^2=8\iff x=\pm\sqrt8\\----------------------------\\\sqrt8=\sqrt{4\cdot2}=\sqrt4\cdot\sqrt2=2\cdot\sqrt2=2\sqrt2\ \ \ |use\ \sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}\\-----------------------------\\therefore\ your\ answer\ is\ -2\sqrt2\ and\ 2\sqrt2\to\boxed{a\ and\ c}
8 0
3 years ago
Biology if one honeybee makes 1/12 teaspoons of honey during its life time how many homey bees do you need to make1/2 tea spoons
Korolek [52]

Answer:

(1/2) / (1/12)

(1/2) * (12/1) = 12/2 = 6


6 0
3 years ago
A line that includes the points (9,j) and (10,4) has a slope of 1. What is the value of j?
Sergeu [11.5K]

Answer:

soln

A=(9,j)

x1=9,y1=j

B=(10,4)

x2=10,y2=4

slope=1

by using the fomulaof slope,

slope=y2-y1/x2-x1

1 =4-j/10-9

1 = 4-j/1

1=4-j

j=4-1

j=3

5 0
3 years ago
Read 2 more answers
A bag contains 2 green disks,2 yellow disks, and 5 black disks. What is the probability of drawing two green disks without repla
aleksley [76]

Answer: 1/36

Step-by-step explanation: 2/9 x 1/8 =2/72 = 1/36

6 0
3 years ago
Read 2 more answers
Y=x²-6x+8 what is y when x is 0?
jarptica [38.1K]

Answer:

The value of y is 8.

Step-by-step explanation:

In order to find the value of y, you have to put in x = 0 into the equation :

y =  {x}^{2}  - 6x + 8

Let x = 0,

y =  {0}^{2}  - 6(0) + 8

y = 8

6 0
3 years ago
Other questions:
  • Solve 2x - 5 = 7 what is the answer to this question it’s for algebra
    14·2 answers
  • How do I reduce 3 and 25/21
    10·1 answer
  • The city council wants to find out if city residents would be willing to pay higher taxes for improvements to the city's parks.
    9·2 answers
  • Selena played 32 games of chess. If she won x games, which expression represents her losses?
    15·2 answers
  • Y = (0.99)3t<br> growth or decay??
    12·1 answer
  • In which interval is the rate of change the greatest?
    13·1 answer
  • Graph the inequality of y less than or equal to2x + 2?
    11·1 answer
  • Jackson has 8 gallons of water. He uses 1.38 gallons of water
    14·2 answers
  • Hanna arranged financing for her bachelor’s degree. She borrowed $5,000 as a student loan backed by the federal government, and
    11·1 answer
  • WILL GET MARKED BRAINLIEST IF RIGHT! ( please look at picture )
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!