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Lesechka [4]
2 years ago
12

Question: Given P(X) = 0.5, P(Y) = 0.4, and P(Y|X) = 0.3, what are P(X and Y) and P(X or Y)? (3 points)

Advanced Placement (AP)
1 answer:
Rufina [12.5K]2 years ago
5 0

Answer:

P(x\ and\ y) = 0.15

P(x\ or\ y) = 0.75

Explanation:

Given

P(x) = 0.5

P(y) = 0.4

P(y|x) = 0.3

Solving (a): P(x\ and\ y)

In probability, this is calculated as:

P(x\ and\ y) = P(x) * P(y|x)

This gives:

P(x\ and\ y) = 0.5 * 0.3

P(x\ and\ y) = 0.15

Solving (b): P(x\ or\ y)

In probability, this is calculated as:

P(x\ or\ y) = P(x) + P(y) - P(x\ and\ y)

This gives:

P(x\ or\ y) = 0.5 + 0.4 - 0.15

P(x\ or\ y) = 0.75

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