Probability of pulling a red marble:
The total number of marbles in the bag is 5 (red) + 7 (blue) + 2 (green) + 7 (purple) = 21 marbles.
1. The probability of pulling a red marble can be calculated by dividing the number of red marbles by the total number of marbles:
Probability = Number of favorable outcomes / Total number of outcomes
Probability of pulling a red marble = 5 (red marbles) / 21 (total marbles)
Therefore, the probability of pulling a red marble is 5/21.
2. Likelihood of the event occurring:
The likelihood of pulling a red marble can be described as moderate. With 5 red marbles out of a total of 21 marbles, there is a reasonable chance of selecting a red marble. However, it is not a guarantee, as there are other colors in the bag as well. The probability of 5/21 indicates that approximately 23.8% of the time, a red marble will be selected.