Question

What is the probability that a patient shows improvement
if it is known that the patient was given the drug?

Answer 1

Answer:

.3375

Explanation:

Total people who were given drug: 800

Total people who showed improvement: 270

Probability:

$\boxed{ \sf \dfrac{favorable \ outcomes }{total \ possible \ outcomes}}$

insert values

$\rightarrow \sf \dfrac{270}{800}$

simplify

$\rightarrow \sf \dfrac{27}{80}$

in decimals

$\rightarrow \sf 0.3375$

Answer 2

Answer:

d)  .3375

Step-by-step explanation:

let E be the event : “the patient shows improvement”

    D be the event : “the patient was given the drug”

here we are in a conditional probability situation:

Let E/D be the event “a patient shows improvement ,if it is known that the patient was given the drug”

$p\left( E|D\right) =\frac{p\left( E\cap D\right) }{p\left( D\right) }$

            $=\frac{270}{800}$

            $=0.3375$