math

Two teams, the Exponents and the Radicals, square off in a best of 5 math hockey tournament. Once a team wins 3 games, the tournament is over.

The schedule of the tournament (for home games) goes: E-R-E-R-E

If the Exponents are playing at home, there is a 60% chance they'll win. If they are playing on the road, there is a 45% chance they'll win.

Find the probability that the Exponents win the series. Round answers to at least 4 decimal places.

  1. 👍
  2. 👎
  3. 👁
  1. 0.0194

    1. 👍
    2. 👎
  2. your probability seems low
    if E wins they can do it with:

    0 losses
    1 loss
    2 losses

    for how many combinations can they do each of the above
    start there

    1. 👍
    2. 👎
  3. if E wins, they can do it with:

    0 losses out of 3 games: C(2,0) = 1 way to do that, since the last game must be a win

    1 loss out of 4 games: C(3,1) = 3 ways to do that, since the last game must be a win

    2 losses out of 5 games: C(4,2) = 6 ways to do that, since the last game must be a win

    thus, there are 10 total ways to win the tournament, each with its own probability

    for example, the probability of winning in 3 games is: 0.6 * 0.45 * 0.6 = 0.162

    do that same calculation for each of the 10 ways to win – be careful whether the individual game is home or away – then sum the probabilities across all 10 ways

    you should get 0.5756

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra

    1.) Describe the relationship of input and output values for composite functions. 2.) Explain how you know if a radical expression is in simplest form. 3.) How can you tell if radicals are like radicals?

  2. maths

    exponents and radicals evaluate:(6.25)3/2

  3. math

    5 hockey pucks and three hockey sticks costs $23. 5 hockey pucks and 1 hockey stick costs $20. How much does 1 hockey puck cost?

  4. Algebra

    the square root of (x-11) = the square root of (x) - 1 The following equation will require that you square both sides twice before all the radicals are eliminated.

  1. algebra

    How do I rewrite this equation using radicals instead of rational exponents? I rewrote the whole equation in simplest form 25x^(11/10)4√y How do I rewrite it with radical exponents?

  2. Plz help me..just one MATH question

    The number 1 is both the square of an integer and the cube of an integer. What is the next larger interger which is both a square and a cube of a positve integer. plz help, the only number i can think of was 0 but its smaller than

  3. Algebra

    How do you work square root problems when there is a number outside the radical that needs to be divided out. Example: 2(square root of 5x-1)=3(square root of 2x+4). How can you get both of the radicals by themselves in order to

  4. Algebra 1

    There is a state soccer tournament with 128 teams competing for 1st place. Each week, half of the teams get eliminated. How many teams remain after 6 weeks? A. 16 B. 8 C. 4 D. 2

  1. Mathematics

    Each baseball in a baseball league has 14 players. A total of 56 players signed up to play. If t represents the number of teams in the league, which statement is true? A. Since 56 - 14 = t, there are 42 teams in the league. B.

  2. Math

    Rationalize the denominator. Assume that all expressions under radicals represent positive numbers. The square root of 3y^4 to the third root divided by the square root of 15x^4 to the third root. Here is what I have so far: I

  3. math

    can some one help me with this on connexus 3.11.5 - Practice: Exponents, Factors, and Fractions Review Practice Math 7 A (CL) Belle Point, 7.20 / 3. Exponents, Factors, and Fractions / 3.11. Exponents, Factors, and Fractions

  4. Math

    What is the difference between exponents and subscripts in math?

You can view more similar questions or ask a new question.