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AP EAMCET · Maths · Probability

If A and B simultaneously toss one coin each every time, each 50 times, then the probability of not getting tail on both the coins is

  1. A \(\left(\frac{3}{4}\right)^{50}\)
  2. B \(\left(\frac{2}{3}\right)^{50}\)
  3. C \(\left(\frac{1}{3}\right)^{50}\)
  4. D d) \(\left(\frac{1}{2}\right)^{50}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\left(\frac{3}{4}\right)^{50}\)

Step-by-step Solution

Detailed explanation

\(S=\{(T, T),(H, H),(T, H),(H, T)\}\). Probability of not getting tail \(=\frac{3}{4}\) \(\therefore\) The required probability \(=\left(\frac{3}{4}\right)^{50}\)