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Two dice are thrown together and the tot...

Two dice are thrown together and the total score is noted. The event E, F and G are a total 4, a total of 9 or more, and a total divisible by 5, respectively. Calculate `P(E),P(F)a n dP(G)` and decide which pairs of events, if any, are independent.

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To solve the problem, we need to calculate the probabilities of events E, F, and G when two dice are thrown together. We will also check the independence of these events. ### Step 1: Define the Sample Space When two dice are thrown, the sample space consists of all possible outcomes, which can be represented as ordered pairs (a, b) where a and b are the results from each die. The total number of outcomes when two dice are thrown is: \[ \text{Total outcomes} = 6 \times 6 = 36 \] ...
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