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The ACE Recording Studio has a new client visiting Orlando in the upcoming weeks. A new and upcoming band wants to offer a free concert in one of the venues around town. Currently, there are 10 venues that will allow this kind of event for the community. Each of the venues is willing to offer the concert on either Monday, Tuesday or Wednesday of the first 2 weeks of the month.What are the odds of booking the concert on a Monday?1:

Question

The ACE Recording Studio has a new client visiting Orlando in the upcoming weeks. A new and upcoming band wants to offer a free concert in one of the venues around town. Currently, there are 10 venues that will allow this kind of event for the community. Each of the venues is willing to offer the concert on either Monday, Tuesday or Wednesday of the first 2 weeks of the month.What are the odds of booking the concert on a Monday?1:

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Solution

To determine the odds of booking the concert on a Monday, we need to consider the total number of possible days and the number of Mondays available.

  1. Identify the total number of days available:

    • There are 3 days (Monday, Tuesday, Wednesday) available each week.
    • The first 2 weeks of the month have 2 weeks × 3 days/week = 6 days.
  2. Identify the number of Mondays available:

    • There is 1 Monday each week.
    • For the first 2 weeks, there are 2 Mondays.
  3. Calculate the odds:

    • The odds of booking the concert on a Monday are the number of Mondays divided by the total number of days.
    • Number of Mondays = 2
    • Total number of days = 6

    Therefore, the odds are 2/6, which simplifies to 1/3.

So, the odds of booking the concert on a Monday are 1:3.

This problem has been solved

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