Statistics And Probability Question 296
Question: 8 coins are tossed simultaneously. The probability of getting at least 6 heads is
[AISSE 1985; MNR 1985; MP PET 1994]
Options:
A) $ \frac{57}{64} $
B) $ \frac{229}{256} $
C) $ \frac{7}{64} $
D) $ \frac{37}{256} $
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Answer:
Correct Answer: D
Solution:
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The required probability $ ={}^{8}C_6{{( \frac{1}{2} )}^{6}}.{{( \frac{1}{2} )}^{2}}+{}^{8}C_7{{( \frac{1}{2} )}^{7}}.( \frac{1}{2} )+{}^{8}C_8{{( \frac{1}{2} )}^{8}}=\frac{37}{256} $ .
BETA
