Statistics And Probability Question 97
Question: A coin is tossed thrice. If E be the event of showing at least two heads and F be the event of showing head in the first throw, then find $ P( \frac{E}{F} ) $
Options:
A) $ \frac{4}{3} $
B) $ \frac{3}{4} $
C) $ \frac{1}{4} $
D) $ \frac{1}{2} $
Show Answer
Answer:
Correct Answer: B
Solution:
- [b] $ S={HHH,HHT,HTH,HTT,THH,THT,TTH,TTT} $ $ E={HHH,HHT,HTH,THH}; $ $ F={HHH,HHT,HTH,HTT} $ $ E\cap F={HHH,HHT,HTH};n(E\cap F)=3,n(F)=4 $
$ \therefore $ Reqd prob. $ =P( \frac{E}{F} )=\frac{n(E\cap F)}{n(F)}=\frac{3}{4} $
BETA
