None of the provided options (1/6, 1/2, 1/3) match the correct probability of 7/12.
What is the probability of obtaining tails or a five?
Coin outcomes: Heads (H) or Tails (T)
Die outcomes: 1, 2, 3, 4, 5, or 6
Tails and any die outcome (1, 2, 3, 4, 5, or 6)
The favorable outcomes are Tails + 6 possibilities (T1, T2, T3, T4, T5, T6) + Heads + 1 possibility (H5).
Total possible outcomes are 2 (H or T) * 6 (die outcomes) = 12.
Therefore, the probability (P) of obtaining tails or a five is:
=1/2 + 1/6
=[6+1]/12
= 7/12
Therefore, none of the provided options (1/6, 1/2, 1/3) match the correct probability of 7/12.