Free GMAT Practice Question

Each weekday (Monday through Friday), Karan will choose one of two workout types for that day: strength training or yoga. To decide which training to choose, he uses a weighted coin that lands heads with probability 2/3 and tails with probability 1/3. If the coin lands heads, he will choose strength training, and if the coin lands tails, he will choose yoga. Karan calculates the probability that, within this 5-day workweek, either he does strength training on 3 consecutive days or he does yoga on 3 consecutive days. This probability is $p$ divided by $q$, where $p/q$ is in lowest terms.

Select for $p$ and for $q$ values jointly consistent with the given information. Make only two selections, one in each column.