A,B mutually exclusive, P(A)=3x+13, P(B)=1-x4.

Question

$A,B$ mutually exclusive, $P(A)=\dfrac{3x+1}{3}$, $P(B)=\dfrac{1-x}{4}$. Find the possible interval for $x$.

Accepted Answer

For mutually exclusive events, $P(A)+P(B)\le1$; along with individual constraints $0\le P(A),P(B)\le1$, combined this gives $x\in\left[-\dfrac13,\dfrac59\right]$.

Solutions · 1