Probability Problem - Given Probability

Given Probability
The probability of rain on any given day is. In a four-day period, given that it rains at least twice, what is the probability it rains all four days?

In gregmat video, he has solved by finding probability of each cases.
Can’t we solve this problem looking at possible outcomes only.

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Explain your approach further.

I found the explanation here: Given Probability 2 - #3 by Leaderboard