Probability Question 296
Question: Rahul has to write a project, probability that he will get a project copy is ?P?, probability that he will get a blue pen is ?q? and probability that he will get a black pen is 1/2, if he can complete the project either with blue or with black pen or with both and probability that he completed the project is 1/2 then $ P(1+q) $ is
Options:
A) $ \frac{1}{2} $
B) 1
C) $ \frac{1}{4} $
D) 2
Show Answer
Answer:
Correct Answer: B
Solution:
Lets define the events as probability of getting project copy [a] = p
Probability of getting blue pen [b] = q 0
Probability of getting black pen [c] = 1/2 Then $ P(AC\overline{B})+p(AC\overline{B})+p(ABC)=\frac{1}{2} $
$ p.q.\frac{1}{2}+p.\frac{1}{2}(1-q)+p.q.\frac{1}{2}=\frac{1}{2} $
$ \therefore pq+p-pq+pq=1 $
$ \therefore p(1+q)=1 $
BETA
