A bag contains 9 green marbles and 7 white marbles. You select a marble at random. What are the odds in favor of picking a green marble?
There are a total of 9 + 7 = 16 marbles in the bag.
The odds in favor of picking a green marble are the number of favorable outcomes (picking a green marble) divided by the number of total outcomes. This can be expressed as a fraction or a ratio.
Fraction: Number of green marbles / Total number of marbles = 9/16
Ratio: Number of green marbles : Number of non-green marbles = 9:7
Therefore, the odds in favor of picking a green marble are 9:7 or 9/16.
To find the odds in favor of picking a green marble, we need to determine the ratio of favorable outcomes (green marbles) to the total number of outcomes (total marbles).
The number of favorable outcomes is the number of green marbles, which is 9.
The total number of outcomes is the sum of the green and white marbles, which is 9+7 = 16.
Therefore, the odds in favor of picking a green marble are 9:16 or 9/16.