To find the odds of booking the concert on a Monday, we need to consider the total possible options for booking and the favorable options for booking on Monday.
- Total Venues: 10 venues
- Days available for booking: Monday, Tuesday, and Wednesday (3 days)
- Weeks available: The first 2 weeks of the month (2 weeks)
Given that each venue can offer a concert on one of the 3 days across 2 weeks, this gives:
- Total possible concert slots = 10 venues × 3 days/week × 2 weeks = 60 possible concert slots.
- Favorable outcomes for booking on a Monday:
- There are 10 venues, and for each venue, there is 1 favorable day (Monday) in each of the 2 weeks, so:
- Total favorable slots for Monday = 10 venues × 2 weeks = 20 favorable outcomes.
Now, the odds of an event are calculated using the formula:
\[ \text{Odds} = \frac{\text{Favorable Outcomes}}{\text{Unfavorable Outcomes}} \]
- Unfavorable outcomes (for Tuesday and Wednesday):
- Total options excluding Monday = 10 venues × 2 days/week × 2 weeks = 40 unfavorable outcomes.
Thus, the odds of booking the concert on a Monday are:
\[ \text{Odds} = \frac{20}{40} = 1:2 \]
Therefore, the best answer is E. 1:2.