A fair coin is tossed 10 times and the outcomes are listed. Let H i be the event that the i th outcome is a head and A m be the event that the list contains exactly m heads, then

Question

A fair coin is tossed 10 times and the outcomes are listed. Let H i ​ be the event that the i th outcome is a head and A m ​ be the event that the list contains exactly m heads, then

TestHub · Accepted Answer

P ( H i ​ ) = 2 1 ​ , P ( A m ​ ) = 2 10 10 C m ​ ​ P ( H i ​ ∩ A m ​ ) = 2 10 9 C m − 1 ​ ​ For H i ​ and A m ​ to be independent 2 10 9 C m − 1 ​ ​ = 2 1 ​ × 2 10 10 C m ​ ​ ⇒ 1 = 2 1 ​ × m 10 ​ ⇒ m = 5 \end{document}

Mathematics - Probability Question with Solution | TestHub

Options:

Doubts & Discussion

JEE Main (2026)