A box contains 7 orange beads, 7 red beads, and 2 black beads. If one bead is chosen without looking, what is the probability that it is black?
- 7 orange beads
- 7 red beads
- 2 black beads
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 2 black beads.
- Then count all possible outcomes: 7 + 7 + 2 = 16.
- Probability means favorable outcomes divided by total outcomes, so the probability is 2/16, which simplifies to 1/8.
The correct answer is 1/8. This matches the calculation or definition, so students should focus on the reasoning rather than only memorizing the final value.