Given Set A = {2, 3, 4, 5} and Set B = {11, 12, 13, 14, 15}, two numbers are…

Answer: 0.20 (1/5)

Reasoning:

• Total possible pairs: choose one number from the first set (4 choices) and one from the second set (5 choices), so 4 × 5 = 20 total equally likely pairs.

• Favorable pairs that sum to 16: check each number from the first set and find its required partner in the second set:

  • 2 + 14 = 16

  • 3 + 13 = 16

  • 4 + 12 = 16

  • 5 + 11 = 16

• There are 4 favorable pairs out of 20 total pairs, so the probability is 4/20 = 1/5 = 0.20.