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Two baised dice are thrown together. For...

Two baised dice are thrown together. For the first die `P(6)=1/2` , other scores being equally likely while for the second die, `P(1)=2/5` and other scores are equally likely. Find the probability distribution of the number of ones seen.

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To find the probability distribution of the number of ones seen when two biased dice are thrown together, we can follow these steps: ### Step 1: Determine the probabilities for the first die Given: - \( P(6) = \frac{1}{2} \) Since the total probability must equal 1, we can express the probabilities for the other outcomes (1, 2, 3, 4, 5) as equal. Let \( P(i) \) for \( i = 1, 2, 3, 4, 5 \) be \( p \). ...
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