Question

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

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

Hint:

For multiple independent events, the total probability is the product of individual probabilities.

Answer 1

The Correct Option is A

The probability of not getting a tail on a single coin flip is \( \frac{3}{4} \), because each coin has a \( \frac{1}{2} \) chance of landing heads and another \( \frac{1}{2} \) chance of landing tails. Hence, the combined probability of getting heads on both coins for each toss is \( \left( \frac{3}{4} \right)^{50} \) for 50 tosses.