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A multinomial experiment consists of 10 trials, where each trial has 3 possible outcomes. It's known that Outcomes 1,2, and 3 occur with probabilities P1

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A multinomial experiment consists of 10 trials, where each trial has 3 possible outcomes. It's known that Outcomes 1,2, and 3 occur with probabilities P1 = 0.5, P2 = 0.3, and P3 = 0.2 respectively. What is the probability that Outcome 2 occurs exactly 6 times during the 10 trials? (Your answer should be a decimal. Round to 4 decimal places if necessary.)

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