A) \[\frac{8}{{{3}^{7}}}\]
B) \[\frac{16}{{{3}^{7}}}\]
C) \[\frac{280}{{{3}^{7}}}\]
D) \[\frac{560}{{{3}^{7}}}\]
Correct Answer: C
Solution :
\[P\](correct prediction) \[=\frac{1}{3}\]; \[P\](wrong prediction) \[=\frac{2}{3}\] For exactly 4 right predictions Probability \[={}^{7}{{C}_{4}}{{\left( \frac{1}{3} \right)}^{4}}.\,{{\left( \frac{2}{3} \right)}^{3}}=\frac{280}{{{3}^{7}}}.\]
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