Chapter 6.5, Problem 6E

Does It Make Sense? For Exercises 5–8, determine whether the statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain clearly; not all of these have definitive answers, so your explanation is more important than your chosen answer.

6. Combining Probabilities. The probability of flipping a coin and getting heads is 1/2. The probability of rolling a die and getting a 2 is 1/6. When flipping a coin and rolling a die at the same time, the probability of getting heads or a 2 is 1/2 + 1/6 = 3/6 + 1/6 = 4/6, or 2/3.