If P(A) = 0.24 and P(B) = 0.52 and A and B are independent, what is P(A or B)?
Question
If P(A) = 0.24 and P(B) = 0.52 and A and B are independent, what is P(A or B)?
Solution
To find the probability of A or B, we use the formula:
P(A or B) = P(A) + P(B) - P(A and B)
Given that A and B are independent, the probability of A and B is the product of their individual probabilities. So,
P(A and B) = P(A) * P(B) = 0.24 * 0.52 = 0.1248
Now, we can substitute these values into the formula:
P(A or B) = 0.24 + 0.52 - 0.1248 = 0.6352
So, the probability of A or B is 0.6352.
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