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____ [38]
3 years ago
7

Two teams A and B play a series of games until one team wins four games. We assume that the games are played independently and t

hat the probability that A wins any game is p. What is the probability that the series lasts exactly five games?
Mathematics
1 answer:
crimeas [40]3 years ago
6 0

Answer:

4pq(p³+q³)

Step-by-step explanation:

Exactly 5 game would be when 4 wins and 1 loss of a particular person

loss has to be one of the first 4 games

A wins: qp⁴ + pqp³ + p²qp² + p³qp

= qp⁴ + qp⁴ + qp⁴ + qp⁴ = 4qp⁴

B wins: pq⁴ + qpq³ + q²pq² + q³pq

= pq⁴ + pq⁴ + pq⁴ + pq⁴ = 4pq⁴

A wins or B wins:

4pq⁴ + 4qp⁴ = 4pq(q³+p³)

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EASY MATH QUESTIONS<br><br> NEED HELP
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Answer:

f(6) = -14

Step-by-step explanation:

x = -6

f(x) = x^2/3 - 2

f(-6) = (-6)^2/3 -2         Replace x with the given number

      = -36/3 - 2            Simplify -6 to the power of 2

      = - 12 - 2                Divide -36 by 3

f(6) = - 14                      Subtract -2 from -12

8 0
3 years ago
Read 2 more answers
Find the distance CD rounded to the nearest tenth
motikmotik

Answer:

CD ≈ 15.0

Step-by-step explanation:

calculate CD using the distance formula

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = C (7, - 4) and (x₂, y₂ ) = D (- 8, - 5)

CD = \sqrt{(-8-7)^2+(-5-(-4))^2}

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     = \sqrt{225+(-1)^2}

     = \sqrt{225+1}

     = \sqrt{226}

     ≈ 15.0 ( to the nearest tenth )

 

3 0
2 years ago
A diver starts at the surface of the water and travels 8 feet to the bottom.
Sauron [17]

Answer:

On the graph B, at 0 seconds the graph will be <u>at y=0.</u>

The graph will be <u>going down</u> until 2 seconds, when the diver reaches her deepest point. At 2 seconds the height of the graph will be -8ft.

Step-by-step explanation:

In graph B we are measuring the distance from the surface, that is we are setting the surface to be y=0. Thus if the diver reaches her deepest point 8ft down, she will be below y=0 and at -8ft.

Thus, in shape the graph B will be similar to graph A, but it will be shifted downed by 8ft.

7 0
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Substitute <br><br> -3x-8y=4<br> -2x+7y=15
Nikolay [14]
-2x=15-7y
x=-7.5+3.5y

-3x-8y=4
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-22.5-10.5y-8y=4
-22.5-18.5y=4
-18.5y=4+22.5
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the fraction might not be in lowest terms.
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3 years ago
What is the largest prime number no prime number?
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Answer:
2⁸² ⁵⁸⁹ ⁹³³ − 1
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Found it on google
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