A box contains 9 orange cards, 4 black cards, and 4 purple cards. If one card is chosen without looking, what is the probability that it is black?
- 9 orange cards
- 4 black cards
- 4 purple 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 4 black cards.
- Then count all possible outcomes: 9 + 4 + 4 = 17.
- Probability means favorable outcomes divided by total outcomes, so the probability is 4/17, which simplifies to 4/17.
The correct answer is 4/17. This matches the calculation or definition, so students should focus on the reasoning rather than only memorizing the final value.