two teams play a series of games, wher both teams have an equal probability of winning each game. its a best- of-five series, so the frist team to win three games is the winner. what is the probability that the series lasts five games

Answers

Answer 1

Answer:

0.375

Step-by-step explanation:

With equal probability, hence

p for both teams = 0.5

First team to win three games win, probability that series lasts 5 games :

This means after 4 games each of the teams must have won 2 each ; and the series decider will be on the 5th game :

Each team winning two games and any of the teams could be the eventual winner :

From binomial relation :

P(x = x) = nCx * p^x * q^(n-x)

q = 1 - p = 0.5

Team A :

Winning any 2 from 4 and winning the 5th

(4C2 * 0.5^2 * 0.5^2) * 0.5

0.375 * 0.5 = 0.1875

Team B :

(4C2 * 0.5^2 * 0.5^2) * 0.5

0.375 * 0.5 = 0.1875

Hence, the probability that series lasts five games is :

[4C2*0.5^2*0.5^2)*0.5]+[4C2*0.5^2*0.5^2)*0.5]

0.1875 + 0.1875

= 0.375


Related Questions

The wild things pet store has 4 birdcages with 6 canaries in eacg cage. The pet store also has a birdcage with i oarakeets. Which expression shows the number of birds in wild things pet store?

Answers

Answer:

(4 * 6) + 8

Step-by-step explanation:

The Wild Things Pet Store has 4 birdcages with 6 canaries in each cage. The pet store also has a birdcage with 8 parakeets. Which expression shows the number of birds in Wild Things Pet Store?

Solution:

Each birdcage contain 6 canaries, therefore since there is a total of 4 birdcages, the number of canaries in the 4 bird cages is given by:

Number of canaries = 4 birdcages * 6 canaries per birdcage

Also, there is one birdcage with 8 parakeets, hence the number of parakeets is:

Number of Parakeet = 1 birdcage * 8 parakeet per birdcage = 8 parakeet

The total number of birds in the Pet store = number of canaries + number of parakeet

number of birds in the Pet store = (4 * 6) + 8

Find the solution by grouping

Answers

Answer:

Step-by-step explanation:

[tex]x^{5} -x^{4}-2x^{3} +2x^{2} =0\\\\x^{4} (x-1) -2x^{2} (x-1) =0\\\\(x^{4} -2x^{2} ) (x-1)=0\\\\ x^{2} (x^{2} -2)(x-1) =0[/tex]

solutions are

x² =0 so x=0

x²-2 = 0 so x= ±√2

x-1 =0 so x= 1

hey! i’ll give brainliest please help

Answers

Answer:

Symbol also in symbolizing something

Step-by-step explanation:

Allegory: is a form of narrative in which people, places and happenings have hidden or symbolic meaning. ... This is when the meaning, situation or action is one thing but means something different.

The answer is symbol

essay on a trip with friends​

Answers

Step-by-step explanation:

click the photo there is answrr

Peralta and Amy worked last winter shovelling their neighbour's driveway. Amy earned $8 more than twice the amount earned by Peralta. If their earnings totalled $110, how much did Amy earn? Use an algebraic equation to solve this problem.

Answers

Answer:

$76

Step-by-step explanation:

Peralta and Amy worked last winter shovelling their neighbour's driveway.

Let the amount

Peralta earns = x

Amy earns = y

Amy earned $8 more than twice the amount earned by Peralta.

y = 2x + $8

y = 2x + 8

If their earnings totalled $110,

x + y = 110

x = 110 - y

We substitute 110 - y for x

Hence:

y = 2(110 - y) + 8

y = 220 - 2y + 8

Collect like terms

y + 2y = 220 + 8

3y = 228

y = 228/3

y = 76

Since, the amount Amy earns = y

Therefore, Amy earned $76

graph the equation (x - 3)^2 + (y - 2)^2 = 25 and y = 6.

Answers

Answer:

x=6, x=0

Step-by-step explanation:

[tex](x - 3) ^{2}[/tex]+ [tex](y - 2) ^{2}[/tex]= 25

[tex](x - 3) ^{2}[/tex]+ [tex](6 - 2) ^{2}[/tex]= 25

x=6, x=0

Inscribed angles exit card

Answers

Answer:

∠ A = 42°

Step-by-step explanation:

The inscribed angle A is half the measure of its intercepted arc BC , so

∠ A = 0.5 × 84° = 42°

At the farmers market, you can buy 3 jars of honey for $12,6 jars of honey for $24,or 9 jars of honey for $36.what is the constant of proportionality for buying jars of honey ?

Answers

Answer:

12

Step-by-step explanation:

Aldo made 2 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for both necklaces was $10.20 If the beads cost $1.80 for each necklace, how much did each pendant cost?

pls help

Answers

Answer:

Solution given;

total cost for of the beads and pendants

both necklaces;$10.20

1 necklaces=;$10.20/2=$5.1

beads =cost $1.80

now

each pendant cost =total cost of 1 necklaces-beast cost

=$5.10-1.80

=$3.3

each pendant cost$3.3

у varies inversely as x, and y = 45 when x = 7

Answers

Answer: -2

Step by step Explanation: y=k/x

Replace y with 7 and x with -2

7=k/-2 gives you -14

then you replace k with -14 and x with 7

Y=14/7 gives you -2

Which is the approximate perimeter for triangle PQR

A- 16
B- 17
C- 19
D- 21

Answers

Answer:

D

Step-by-step explanation:

It's an approximation

Hey saw this man Turns 250 per on per week Plus a 10% commission all sales over 5000 in one week hey cells Toto 14,000 what were his earning that week A.$1,050 B.$1,150 C.$400 D.$2,150

Answers

Answer:

B.$1,150

Step-by-step explanation:

Given data

Weekly earning= $250

commission= 10%

Sales= $14000

Hence the expression for his total earnings per week is

y= 0.1x-250

x= sales

y= total earning

y=0.1*14000- 250

y= 1400-250

y= $1150

During the month of June, Addison kept track of the number of days she saw birds in her garden. She saw birds on 18 days of the month. What is the experimental probability that she will see birds in her garden on July 1? (There are 30 days in June) HURRYYYYY PLEASE

Answers

Answer:

3/5

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

Experimental probability is based on the result of an experiment that has been carried out multiples times

experimental probability that she will see birds in her garden on July 1 = number of days she saw a bird in June / total number of days in June

= 18/30

To transform to the simplest form. divide both the numerator and the denominator by 6

Pleaseeeee helpppppppppppppppppppppppp

Answers

i think it’s 309 cm because each side is 1 cm, there’s 3 sides, and 103 triangles. so 103x3=309 sides which means 309 cm

Someone help please want
asap

Answers

Answer:

3

Step-by-step explanation:

you are dividing by 3 each time

A line passes through the point (2, 10) and has a y-intercept of 4. What is the equation of the line?

Answers

Answer:

[tex]y=3x+4[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is equal to 0)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two points that the line passes through are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

We're given the point (2,10) and the y-intercept of 4. Recall that the y-intercept occurs when x is equal to 0. This means that the y-intercept occurs at (0,4), giving us our second point.

Plug these points into the equation

[tex]=\frac{10-4}{2-0}\\=\frac{6}{2}\\=3[/tex]

Therefore, the slope of the line is 3. Plug this into [tex]y=mx+b[/tex]

[tex]y=3x+b[/tex]

2) Determine the y-intercept (b)

The y-intercept is given; it is 4. Plug this back into [tex]y=3x+b[/tex]

[tex]y=3x+4[/tex]

I hope this helps!

Use the order of operations to find the value of the expression 2 + 3 x 16 - 2 x 21 - 3

Answers

Answer

5

Step-by-step explanation:

2+3x16-2x21-3

2+ (3x16)- ( 2x21) -3

2 + 48 - 42 -3

50 -42-3

8-3= 5

Answer:

=5

Step-by-step explanation:

2+3*16-2*21-3=

2+(3*16)-(2*21)-3=

2+(48)-(42)-3=

2+6-3=

8-3=

=5

Hope this helps

Help pls I don’t get it

Answers

Answer:

post the entire question

I would say that all together at triangle is equal to 180 degrees. So we know 2 angles because on is 90 degrees and one is 78. So, the answer would be 90+78= 168 then subtract that by 180 and you get

12 degrees

At oceanside middle school 110 students tried out for the football team only 80% of the students that tryout make the team how many players are on the team

Answers

Step-by-step explanation:

answer is 22 students in the team

how do u get it?

you know it is 80% of the students went for try out so you do 100% - 80% give you 20% students the number of students in the team already. so you do 20 / 100 x 110 students which already in the whole school over 1 which would give it 22

help pls i neeeed help

Answers

Answer:

9/8  first      11/8 second  and third is  75

Step-by-step explanation:

JELLO HELLO KNOCKS FOR HELP

Answers

Wait imma try to solve this

Answer:

I think it's 9×30=270 (given

270-180 (sum of triangle

=90°

Jessica's family took a 7-hour-and-27-minute trip on a train. They left at 7:00 a.m.
What time did Jessica's family arrive?

Answers

Jessica’s family arrived at 2:27-230

which answer is it to dis question?

Answers

Answer:

Step-by-step explanation:

(A) is the right

Find the corresponding time in the different countries in relation to the Philippine time. Choose the correct answer from the give choices.

Answers

There hope that helps pretty confident in those answers it helps to convert the 1:00pm to 13:00

Sasha is collecting cans to recycle. When she collected 180 cans she knew she had reached 60% of her goal

Answers

Answer:  300 cans

Step-by-step explanation:

Questions wants to know what her goal was:

When Sasha collected 180 cans, she reached 60% of her goal. This means that 180 is 60% of the goal that she set for herself.

To find this goal, assume that it is denoted as x. In such a case, the goal would be expressed as:

180 = 60% * x

x = 180 / 60%

x = 300 cans

I need Answer Immediately!!!!!

Answers

Answer:

I think it is 1 Block every 3 minutes

16) One autumn morning the temperature went up from -4OC to 5OC a) By how many degrees did the temperature rise? During the afternoon, the temperature then fell by seven degrees from 5OC. b) What was the temperature at the end of the afternoon?

Answers

Answer:

Explain it a little more

Step-by-step explanation:

Triangle EFG is similar to triangle HIJ. Find the measure of side IJ. Round your answer to the nearest tenth if necessary.

Answers

Answer:

50.3

Step-by-step explanation:

11/7 = x/32

7x=352

50.28

50.3

Use the equation below to find c, if a = 39 and b= 27.
c=180-a-b
c=0
X
5 ?

Answers

Answer:

the answer is 114

Step-by-step explanation:

help ASAP PLEASE I need​

Answers

Answer:

Step-by-step explanation:

A mutiple is found by taking a number and multiplying it by 1, 2, 3, 4, etc. This ensures us that that number will go into each of the numbers we find...or in other words, is a multiple. Choice A gives us 4, 8, and 16. Since 4 * 1 = 4, 4 is a multiple of 4; since 4 * 2 = 8, 4 is a multiple of 8; since 4 * 4 = 16, 4 is a multiple of 16.

Answer:

a) 4,8 and 16

Step-by-step explanation:

mmultiples of four are numbers that can be divided by four exactly

16/4 equals 4

8/4 equals 2

4/4 equals 1

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