The probability of getting a tail on the coin or a number greater than 3 on the die needs to be determined.
The coin has 2 outcomes: Head (H) or Tail (T)
The die has 6 outcomes: 1, 2, 3, 4, 5, 6
Total combined outcomes = 2 × 6 = 12
The favorable outcomes occur when there is a tail on the coin or a number greater than 3 (that is, 4, 5, or 6) on the die.
When coin shows Tail:
(T, 1), (T, 2), (T, 3), (T, 4), (T, 5), (T, 6) → 6 outcomes
When coin shows Head and die shows a number greater than 3:
(H, 4), (H, 5), (H, 6) → 3 outcomes
Total favorable outcomes = 6 + 3 = 9
The probability is:
Probability=Total outcomesFavorable outcomes
Probability=129
Probability=43
Therefore, the probability that the outcome will be a tail on the coin or a number greater than 3 on the die is 43.