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Suppose E(1), E(2), E(3) be three mutua...

Suppose `E_(1), E_(2), E_(3)` be three mutually exclusive events such that `P(E_(i))=p_(i)" for " i=1, 2, 3`
If `p_(1)=(1)/(2)(1-p), p_(2)=(1)/(3)(1+2p) and p_(3)=(1)/(5)(2+3p)` then p belongs to -

A

`(-1,2)`

B

`(-(1)/(3), (2)/(3))`

C

`(-1, (1)/(47))`

D

`(-(1)/(2), (-7)/(23))`

Text Solution

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The correct Answer is:
D
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