I don’t think it’s advisable to treat these as independent probabilities you can multiply to get risk estimates, but perhaps it’s not that inaccurate. (e.g., it seems quite likely that the probability that the US retaliates is to some extent influenced by their estimate of the probability that it will cause a hot war with China)
Multiplying this out, the joint probabilities for hot US-Sino war in 3, 7, and 12 years, are thus, 4%, 10%, and 15% respectively.
I don’t think it’s advisable to treat these as independent probabilities you can multiply to get risk estimates, but perhaps it’s not that inaccurate. (e.g., it seems quite likely that the probability that the US retaliates is to some extent influenced by their estimate of the probability that it will cause a hot war with China)