Statistics And Probability Question 182
Question: Three coins are tossed. If one of them shows tail, then the probability that all three coins show tail, is
Options:
A) $ \frac{1}{7} $
B) $ \frac{1}{8} $
C) $ \frac{2}{7} $
D) $ \frac{1}{6} $
Show Answer
Answer:
Correct Answer: A
Solution:
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Let $ E $ be the event in which all three coins shows tail and $ F $ be the event in which a coin shows tail. \ $ F=\{HHT,\,HTH,\,THH,\,HTT,\,THT,\,TTH,\,TTT\} $ and $ E=\{TTT\} $ . Required probability $ =P(E/F)=\frac{P(E\cap F)}{P(E)}=\frac{1}{7}. $
BETA
