Multiple choice

The probability of getting heads in both trials, when a balanced coin is tossed twice, will be

  1. $\displaystyle \frac{1}{4}$
  2. $\displaystyle \frac{1}{2}$
  3. $1$
  4. $\displaystyle \frac{3}{4}$
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A Correct answer
Explanation

For each toss, the probability of heads is 1/2. Since the trials are independent, the probability of heads in both trials is (1/2) * (1/2) = 1/4.

AI explanation

When a balanced coin is tossed twice, the total number of possible outcomes is 2 times 2, which equals 4. The only outcome where heads appears in both trials is the single combination of heads followed by heads. Using the basic probability formula, 1 divided by 4 gives the final result. The probability is 1/4.