Question

The probability of events A

and B is

P(A)=1/2

P(B)=1/3

P(A∩B)=1/4.

What is the value of P(A or B)?
Enter your answer as a fraction, like this: 4/25

Answer 1

Answer: 2/3

Explanation:

To find the probability of A or B, we can use the formula: P(A or B) = P(A) + P(B) - P(A ∩ B)

Plugging in the given values:

P(A or B) = 1/2 + 1/3 - 1/4

To solve this, we must find a common denominator in order to add the fractions:

P(A or B) = 3/6 + 2/6 - 1/6

Simplifying:

P(A or B) = 4/6 = 2/3

So the value of P(A or B) is 2/3