Question

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

Answer 1

`(13)/(15)`

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) \\ = (2)/(3) + (4)/(5) - (3)/(5) \\ = (10 + 12 - 9)/(15) \\ = (22 - 9)/(15) \\ = (13)/(15)`

hope this helps you.

Have a nice day!

Answer 2

13/15

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