A box contains 4 purple cards, 9 blue cards, and 4 white cards. If one card is chosen without looking, what is the probability that it is blue?
- 4 purple cards
- 9 blue cards
- 4 white cards
Choose the best answer.
Note
For basic probability, compare the number of favorable outcomes with the total number of equally likely outcomes.
- Count the favorable outcomes first: there are 9 blue cards.
- Then count all possible outcomes: 4 + 9 + 4 = 17.
- Probability means favorable outcomes divided by total outcomes, so the probability is 9/17, which simplifies to 9/17.
The correct answer is 9/17. This matches the calculation or definition, so students should focus on the reasoning rather than only memorizing the final value.