Mood forecast two days ahead

Maya's mood each day is either cheerful or grumpy, and it depends only on how she felt the day before:

• If she is cheerful today, she is cheerful tomorrow with probability $0.7$ (and grumpy with probability $0.3$).
• If she is grumpy today, she is cheerful tomorrow with probability $0.5$ (and grumpy with probability $0.5$).

She is cheerful on Monday.

What is the probability that she is cheerful on Wednesday, two days later?