Ask questions and get helpful answers.
Ask a New Question
  1. Questions
  2. Math

Two individuals, A and B, are finalist for a chess championship. They will play a sequence of games, each of which can result in a win for A, a win for B, or a draw. Outcomes of successive games are independent with P(A wins) =.3, P(B wins)= .2, P(draw)=.5. Each time a player wins a game he earns one point and opponent none, no points for draw. First player to win five points wins championship.

What is the probability that it takes just five games to obtain a champion?

First find out probability that A wins 5 games (.3x.3x.3x.3x.3=.0024)
Second find P(B wins) 5 games (.2x.2x.2x.2x.2=.00032)
Last add the probabilities of A and B (.00243+.00032=.00275)
Is this correct?

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
Brandy
1 answer

  1. Yes, if you math is correct.

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
    PsyDAG

Answer this Question

Related Questions

  1. Maths

    In a group of 120 pupils, 80 can play guitar only and 25 can play piano only. How many pupils can play both instruments if there are 3 pupils who can play neither?

  2. math

    In a certain Algebra 2 class of 25 students, 6 of them play basketball and 12 of them play baseball. There are 11 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?

  3. mathematics

    Algebra 2 class of 21 students, 6 of them play basketball and 10 of them play baseball. There are 7 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?

  4. ALGEBRA 2

    In a certain Algebra 2 class of 26 students, 21 of them play basketball and 7 of them play baseball. There are 2 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?

  5. math

    In football, negative numbers represent yards lost on a play, and positive numbers represent yards gained on a play. Football Game Yardage Play Yards Play 1 21 Play 2 -9mc001-1.jpg Play 3 -6 Play 4 13mc001-2.jpg Which shows the plays in order from greatest

  6. Further mathf

    In a senior secondary school, 80 students play hockey or football. The number that play football is 5 more than twice the number that play hockey. If the 15 students play both games and every student in the school playsat least one game, find: The number

  7. Math

    The first, third and ninth terms of a linear sequence are the first three terms of an exponential sequence. If the seventh term of the linear sequence is 14 calculate the twentieth term of the linear sequence and the sum of the first twelve terms of the

  8. Sequences

    Like the Fibonacci sequence, a certain sequence satisfies the recurrence relation an=an−1+an−2. Unlike the Fibonacci sequence, however, the first two terms are a1=4 and a2=1. Find a32.

  9. Math

    A football team lost nine yards during a play. The team had a combined gain or loss of 0 yards after the next play. What integer represents the yards gained or lost on the next play?

  10. Mathematics

    In a certain Algebra 2 class of 27 students, 11 of them play basketball and 13 of them play baseball. There are 5 students who play neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball?

Still need help?

You can ask a new question or browse existing questions.