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
bezimeni [28]
3 years ago
15

A tournament is being run between two teams, A and B. This is a 2- tournament meaning that the first team to win 2 games is the

tournament winner (sometimes called a best-two-out-of-three tournament). For the first game, the probability of A winning is PA wins]-1/3. For all ensuing games the probability that team A wins is PA wins- 1/3 unless team A lost on the previous round in which case PA wins-3/5.
a: What is the probability that the tournament requires the full three games to decide a winner?
b: The tournament concludes after two games. What is the probability that A won?
Mathematics
1 answer:
natta225 [31]3 years ago
5 0

Answer:

Step-by-step explanation:

For first game PA = 1/3

For second game PA = 1/3 ( If A is not lost in first game )

 = 2/5 (If A is lost in first game )

For conclusion of game in three matches :

If A wins , the probability is

PA , PB , PA  = 1/3 X 2/3 X 3/5 = 6/45

PB , PA , PA = 2/3 X 3/5 X 1/3 = 6/45

If B wins

PA, PB, PB = 1/3 X 2/3 X 2/5 =  4/ 45

PB, PA , PB = 2/3 X 3/5 X 2/3 = 4 / 15

Total probability of conclusion of game in 3 matches

= 6/45 +6/45 + 4/45 +4/15 = 28/45

b )

For the game concluding in 2 matches , the probability are as follows

PA,PA = 1/3 X 1/3 = 1/9

PBPB = 2/3 X 2/5 = 4 / 15

Total probability

= 1/9 + 4/15 = 17/45

So PA = 1/9 / 17/45

= 5/17

You might be interested in
Help with #10 plz...
andrezito [222]
A. is 21.98 cm
b. is 22 cm
8 0
3 years ago
Which of the following represents the amount a customer pays including the tip of 15% if the bill was dollars? Select all that a
erastova [34]

Answer:

b+0.15b,     1.15b,           b+ 15/100b

Step-by-step explanation:

i did the test and then it gave me the answer at he end ur welcome

5 0
2 years ago
Help ASAP! Use the graph to answer the question
irina [24]
19 weeks is it I tok the test
6 0
2 years ago
Which best describes the composition of transformations that maps ΔLMN to ΔL′M′N′?
Andrews [41]
We can’t answer the question because we need a graph or points.
4 0
3 years ago
I am having a conflict with my family what is 7-1×0+3÷3 = ?
ryzh [129]
Follow PEMDAS.

Parenthesis
Exponents
Multiplication & Division
Addition & Subtraction

Alright, do multiplication first, then division. Then, do subtraction then addition.

7-1*0+3/3= \\ 7-0+3/3= \\ 7 - 0 + 1= \\ 7 + 1 = 8 \\ 7-1*0+3/3 =8

Hope this helped!
6 0
3 years ago
Other questions:
  • A boy is 10 years older than his brother. In 4 years he will be twice as old as his brother. Find the present age and write an e
    12·1 answer
  • Use complete sentences to explain how to easily find the expansion of (x + 2)^39.
    15·1 answer
  • PLEASEEEE HELLPPPPPpppp
    8·1 answer
  • Hollis house is located at (-1,4). She can walk in a straight line to get to Jedds house. A fast food resturant is located at (-
    12·1 answer
  • Mr. Chen writes the expression 4 ×
    14·1 answer
  • Find the product: 42.6 × 15.
    5·2 answers
  • Translate: 18 less then a number c
    11·1 answer
  • The temperature at 6:00 pm was 24°. At midnight the temperature 36° lower than 6:00pm . What was the temp at midnight?
    11·1 answer
  • 0=-2y+10-6x<br> 14-22y=18x
    14·1 answer
  • A. 80<br> B. 50<br> C. 70<br> D. 60
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!