Conditional Probability of a Weekend Party Day

Probability · Easy · Free problem
You plan to hold a party on the first sunny day of the weekend. Independently, it rains on Saturday with probability $0.70$ and on Sunday with probability $0.60$. The rule is simple: if Saturday is sunny, the party is Saturday. If Saturday is rainy but Sunday is sunny, the party is Sunday. If both days are rainy, the party doesn't happen. You fast-forward to Monday and learn that the party did happen -- your friends had a great time. Given this information, what is the conditional probability that the party was held on Saturday?

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