Question

If P(A) = 2/3, P(B) = 4/5 and P(AnB) = 3/5, what is P(AuB)?

Answer 1

Answer:

13/15

Step-by-step explanation:

P(A∪B) = P(A) + P(B) – P(A∩B)

            = 2/3 + 4/5 - 3/5

 Getting a common denominator

            2/3 *5/5 + 4/5*3/3  - 3/5 *3/3

             10/15 + 12/15 - 9/15

             13/15

Answer 2

Answer:

$\frac{13}{15}$

Step-by-step explanation:

We know that,

P(AUB) = P(A) + P(B) - P(A n B)

So,

$P(AUB) = P(A) + P(B) - P(A n B) \\ = \frac{2}{3} + \frac{4}{5} - \frac{3}{5} \\ = \frac{10 + 12 - 9}{15} \\ = \frac{22 - 9}{15} \\ = \frac{13}{15}$

hope this helps you.

Have a nice day!