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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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Answer:

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Step-by-step explanation:

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The reason why there are only 11 zeroes is because the 4 was a decimal place  to the right of 2, thus losing a zero.

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Step-by-step explanation:

  1. LET,
  2. A=16 units
  3. L=a units
  4. B=a-6 units
  5. L*B=A
  6. Replacing value of L with 'a'. and B with 'a-6',
  7. a(a-6)=16
  8. a*a-a*6=16
  9. a^2-6a=16
  10. a^2-6a-16=0
  11. a^2-8a+2a-16=0
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Answer:

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Step-by-step explanation:

Given: A triangle whose base angle is 44° and hypotenuse is 10ft.

To find: The value of x.

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