Multiple choice

Two coins are tossed $600$ times and we get two heads $138$ times, one head $192$ times and no heads $270$ times. What is the probability of getting $2$ tails

  1. $\dfrac{9}{20}$
  2. $\dfrac{17}{60}$
  3. $\dfrac{27}{60}$
  4. $\dfrac{14}{60}$
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A Correct answer
Explanation

Total tosses = 600. Two heads = 138, one head = 192, no heads (two tails) = 270. Probability of two tails = 270 / 600 = 27/60 = 9/20.

AI explanation

When two coins are tossed, getting 2 tails is the same as getting no heads. Using the empirical probability method, we divide the number of times no heads appeared by the total number of trials. The probability is 270 divided by 600, which simplifies to 9/20.