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2 problems match “intersection of events”. Clear

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1. Union of two events on a loaded die ●○○○○ 10 ptsA loaded (unfair) die is tossed. Let $A$ be the event "an even number is observed" and $B$ be the event "a number less than 3 is observed". Given $P(A)=0.4$, $P(B)=0.3$ and $P(A\cap B)=0.1$, find $P(A\cup B)$.
2. Conditional probabilities from given data ●○○○○ 10 ptsGiven $P(E)=0.5$, $P(F)=0.7$ and $P(E \cap F)=0.3$, find $P(E\mid F)$ and $P(F\mid E)$. Round each answer to two decimal places.