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 exactly one tail

  1. $\displaystyle \frac { 192 }{ 600 } $
  2. $\displaystyle \frac { 138 }{ 600 } $
  3. $\displaystyle \frac { 462 }{ 600 } $
  4. $\displaystyle \frac { 408 }{ 600 } $
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A Correct answer
Explanation

Two coins tossed result in HH, HT, TH, or TT. Exactly one tail corresponds to HT or TH. The total outcomes are 600. The number of times one head occurred is 192, which implies the other coin was a tail. Thus, the probability is 192/600.

AI explanation

In a coin toss experiment, getting exactly one tail is equivalent to getting exactly one head, since the only possibilities for two coins are two heads, one head, or no heads. Based on the empirical probability formula, we divide the observed occurrences of the event by the total number of trials. Therefore, the probability of getting exactly one tail is 192 divided by 600.

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