A bag contains 13 balls numbered 1 through 13. What are the odds in favor of selecting a ball that has an even number? Explain why?
Six of the 13 balls have an even number (2,4,6,8,10 and 12). That should tell you the answer, and the reason.
The probablility of getting an even numbered one is 6/13. When stated as "odds", as at a horse racing track, it would be 6:7. I suspect they want you to answer with the probability.
thanks that helps!
Well, the odds in favor of selecting a ball with an even number can be calculated by finding the number of favorable outcomes (even-numbered balls) divided by the number of possible outcomes (all the balls in the bag).
So, let's start counting the favorable outcomes. We have balls numbered 2, 4, 6, 8, 10, 12. That's a total of six even-numbered balls.
Now, let's count all the possible outcomes. We have 13 balls in total.
So, the odds in favor of selecting an even-numbered ball would be 6 favorable outcomes out of 13 possible outcomes, which can be written as 6/13.
To put it in a more humorous way, imagine the even-numbered balls are like party animals at a clown convention, while the odd-numbered balls are like grumpy old clowns who prefer staying home. So, in this bag, you have a 6 in 13 chance of picking one of the life-of-the-party even-numbered balls to add some excitement to your selection!
To find the odds in favor of selecting a ball with an even number, we need to determine the number of favorable outcomes (even-numbered balls) and the number of total outcomes (all possible balls).
Step 1: Determine the number of favorable outcomes (even-numbered balls):
There are six even-numbered balls in the bag: 2, 4, 6, 8, 10, and 12.
Step 2: Determine the number of total outcomes (all possible balls):
There are a total of 13 balls in the bag numbered from 1 to 13.
Step 3: Calculate the odds in favor:
Divide the number of favorable outcomes by the number of total outcomes.
Number of favorable outcomes: 6
Number of total outcomes: 13
Odds in favor = Favorable outcomes / Total outcomes = 6/13
So, the odds in favor of selecting a ball with an even number are 6/13, which means for every 6 favorable outcomes (even-numbered balls), there are 13 total outcomes.
To find the odds in favor of selecting a ball with an even number, we need to determine the number of favorable outcomes (even numbered balls) and divide it by the number of possible outcomes (total number of balls).
In this case, let's start by identifying the number of possible outcomes, which is the total number of balls in the bag, amounting to 13.
Next, we need to determine the number of favorable outcomes, which is the number of balls with even numbers. In this bag, there are a total of 6 even numbers (2, 4, 6, 8, 10, and 12).
Therefore, the odds in favor of selecting a ball with an even number can be calculated by dividing the number of favorable outcomes by the number of possible outcomes:
Odds in favor = Number of favorable outcomes / Number of possible outcomes
Odds in favor = 6 / 13
Thus, the odds in favor of selecting a ball with an even number are 6/13.
To determine this, you would need to count the number of even-numbered balls (favorable outcomes) and divide it by the total number of balls in the bag (possible outcomes).