Let's say (B₁, B₂, B3, B4, B5) is a collection of events that are mutually exclusive events. If P(B₁)= 0.6, Find the probability that: 1. At least one of B₂ and B3 will happen if the events B₂ and B4 have the same chances of occurrence while the chance that B5 will occur is 3 times the chance that B3 will happen and the likelihood that at least one of B3 and B5 will occur is half the probability that B₁ will take place.

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