Exams › GATE › General Aptitude

An unbiased coin is tossed six times in a row, and four such trials are conducted. One trial means six tosses of the coin. If H stands for head and T for tail, the following are the observations from the four trials: (1) H T H T H T (2) T T T H H H (3) H T T H H T (4) H H H T T T Which statement describing the last two coin tosses of the fourth trial has the highest probability of being correct?

1. Two T will occur.
2. One H and one T will occur.
3. Two H will occur.
4. One H will be followed by one T.

Correct answer: Two T will occur.

Solution

From the four observed trials, the last two tosses are HT, HH, HT, and TT. The most frequent outcome among these is TT, so 'Two T will occur' has the highest empirical probability from the given data.

Related GATE General Aptitude questions

• The probability that a student passes only in Mathematics is $\frac{1}{3}$. The probability that the student passes only in English is $\frac{4}{9}$. The probability that the student passes in both subjects is $\frac{1}{6}$. The probability that the student passes in at least one of these two subjects is
• Two identical cube-shaped dice, each with faces numbered 1 to 6, are rolled simultaneously. The probability that an even number is rolled on each die is:
• In a sample of 100 heart patients, each patient has an 80% chance of having a heart attack without medicine X. It is clinically known that medicine X reduces the probability of having a heart attack by 50%. Medicine X is taken by 50 of these 100 patients. The probability that a randomly selected patient, out of the 100 patients, takes medicine X and has a heart attack is
• Consider a random experiment where two fair coins are tossed. Let $A$ be the event that both tosses show heads, $B$ be the event that the first toss shows heads, and $C$ be the event that the second toss shows heads. Which of the following statements is/are TRUE?
• A fair coin is tossed 10 times. What is the probability that the first two tosses will yield heads?
• A fair coin is tossed independently four times. The probability of the event that the number of heads is greater than the number of tails is

⚔️ Practice GATE General Aptitude free + battle 1v1 →