You roll a 6-sides die with faces number 1 through 6, and toss a coin. What is the probability of rolling a 2 or getting heads?
If two events (event A, event B) are independent, then
Probability(A or B) = Probability(A) + Probability(B) - Probability(A and B)
Let A = rolling a 2 and B = getting a head [these are independent events]
Probability(A) = 1/6
Probability(B) = 1/2
Probability(A and B) = 1/6 x 1/2 = 1/12
Probability(A or B) = Probability(A) + Probability(B) - Probability(A and B) = 1/6 + 1/2 - 1/12 = 7/12