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Two events, X and Y, are independent of each other. P(Y) = 5/6 and P(X and Y) =1/3 . What is P(X) written as a decimal?
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Two events, X and Y, are independent of each other. P(Y) = 5/6 and P(X and Y) =1/3 . What is P(X) written as a decimal?

User Vivek Kumar Ray
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8.1k points

1 Answer

2 votes
P(Y) = 5/6
Since they are independent, P(X & Y) = P(Y) * P(X)
Therefore:
1/3 = 5/6 * P(X) Change 1/3 to 2/6, then multiply both sides by 6/5
2/6 * 6/5 = P(X)
2/5 = P(X)
Written as a decimal, P(X) = .40
User Norrius
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8.7k points
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