Statistics And Probability Question 336
Question: A coin is tossed three times in succession. If E is the event that there are at least two heads and F is the event in which first throw is a head, then $ P,( \frac{E}{F} )= $
[MP PET 1996]
Options:
A) $ \frac{3}{4} $
B) $ \frac{3}{8} $
C) $ \frac{1}{2} $
D) $ \frac{1}{8} $
Show Answer
Answer:
Correct Answer: A
Solution:
-
$ S=\{HHH,\,HHT,\,HTH,\,THH,\,HTT,\,THT,\,TTH,\,TTT $ $ n\,(E)=4,n\,(F)=4 $ and $ n\,(E\cap F)=3 $
$ \therefore ,P( \frac{E}{F} )=\frac{P(E\cap F)}{P(F)}=\frac{3/8}{4/8}=\frac{3}{4}. $
BETA
