Maximum Coin Tosses for No Tails Probability Greater Than 5%

To find the answer, we need to calculate the probability of observing no tails for different numbers of coin tosses and find the minimum number of tosses that gives a probability greater than 5%.\n\nWhen tossing a fair coin, the probability of observing a tail is 0.5, and the probability of observing no tails (all heads) is 0.5^n, where n is the number of tosses.\n\nWe can calculate the probabilities for different numbers of tosses:\n- For 1 toss: P(no tails) = 0.5^1 = 0.5 = 50%\n- For 2 tosses: P(no tails) = 0.5^2 = 0.25 = 25%\n- For 3 tosses: P(no tails) = 0.5^3 = 0.125 = 12.5%\n- For 4 tosses: P(no tails) = 0.5^4 = 0.0625 = 6.25%\n- For 5 tosses: P(no tails) = 0.5^5 = 0.03125 = 3.125%\n\nWe can see that the probability of observing no tails is greater than 5% (0.05) for 4 tosses. Therefore, the answer is B: 4.