If P (A) = 2/3, P (B) = 1/6, and P (A and B) = 0 what can you say about P (A or B)?
I would say
P(A or B) = P(A) + P(B) - P(A and B)
To determine the probability of the union of two events (A or B), you can use the formula:
P(A or B) = P(A) + P(B) - P(A and B)
Given that P(A) = 2/3, P(B) = 1/6, and P(A and B) = 0, we can substitute these values into the formula:
P(A or B) = (2/3) + (1/6) - 0
P(A or B) = 2/3 + 1/6
To add these fractions, we need a common denominator. Since 3 and 6 have a common denominator of 6, we rewrite the fractions:
P(A or B) = (4/6) + (1/6)
Combining the fractions, we get:
P(A or B) = 5/6
Therefore, P(A or B) is equal to 5/6.