What fraction of the possible outcomes is favorable, or in other words, what is the theoretical probability of landing on tails on the coin and landing on a green? (2 points possible) Hint: Highlight each pair in the sample space that had landed tails on a coin and green in the outcomes to help you identify “favorable” events.
Outcomes with tails on a coin and green in the sample space:
- Tails and Green
- Tails and Green
Number of favorable outcomes: 2
Total number of possible outcomes: 12
Fraction of favorable outcomes: 2/12 = 1/6
The theoretical probability of landing on tails on the coin and landing on green is 1/6.