Question

A survey show that in a city that $63\%$ of the citizens like lime tea where as $76\%$ like coffee.
If $x$ likes both tea and coffee, then

• A. $x=63$
• B. $x=39$
• C. $50\le x\le 63$
• D. $39\le x\le 63$

Answer 1

The correct option is B $x=39$

$P\left(t\right)=63$
$P\left(c\right)=76$
$P(t\cup c)=100$
$Weknow$
$P(t\cup c)=P\left(t\right)+P\left(c\right)-P(t\cap c)$
$100=63+76-P(t\cap c)$
$P(t\cap c)=39$