`P(A cup B)` ज्ञात कीजिये यदि `2P(A) = P(B) = 5/13` ज्ञात कीजिये यदि `P(A//B) = 2/5`

Options

A. `9/26`
B. `11/26`
C. `5/26`
D. `15/26`

Answer

B

Explanation

`P(B) = 5/13`
`2P(A) = 5/13 rArr P(A) = 5/26`
`P(A//B) = 2/5`
`rArr P(A cap B) = 2/5`
`rArr P(A cap B) = 2/5 xx P(B)`
`=2/5 xx 5/13 = 2/13`
`P(A cup B) = P(A) + P(B) - P(A cap B)`
`=5/26 + 5/26 - 2/13`
`=(5+10-4)/26 = 11/26`