JEE Mains · Maths · STD 11 - 14. probability
Each of the persons \(\mathrm{A}\) and \(\mathrm{B}\) independently tosses three fair coins. The probability that both of them get the same number of heads is :
- A \(\frac{1}{8}\)
- B \(\frac{5}{8}\)
- C \(\frac{5}{16}\)
- D \(1\)
Answer & Solution
Correct Answer
(C) \(\frac{5}{16}\)
Step-by-step Solution
Detailed explanation
\(C - I \quad\quad'0'\) Head \(\quad\quad\quad\quad\mathrm{T} \mathrm{T} \mathrm{T} \quad\left(\frac{1}{2}\right)^{3}\left(\frac{1}{2}\right)^{3}=\frac{1}{64}\) \(C - II \quad\quad '1'\) head…
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