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TS EAMCET · Maths · Probability

A coin and six faced die, both unbiassed, are thrown simultaneously. The probability of getting a head on the coin and an odd number on the die, is

  1. A \(\frac{1}{2}\)
  2. B \(\frac{3}{4}\)
  3. C \(\frac{1}{4}\)
  4. D \(\frac{2}{3}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{1}{4}\)

Step-by-step Solution

Detailed explanation

Let \(E=\) Event of getting a head from a coin. \(F=\) Event of getting an odd number \((1,3,5)\) from a die. \(P(E)=\frac{1}{2}, P(F)=\frac{3}{6}=\frac{1}{2}\) Since \(E\) and \(F\) are independent events…