Multiple choice

A coin is tossed $100$ times and tail is obtained $10$ times. Now, if a coin is tossed at random, what is the probability of getting a head?

  1. $\dfrac{11}{10}$
  2. $\dfrac{9}{10}$
  3. $\dfrac{90}{10}$
  4. $\dfrac{100}{10}$
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B Correct answer
Explanation

The probability of an event is the ratio of favorable outcomes to total trials. If a coin is tossed 100 times and tails occurred 10 times, the experimental probability of heads is (100-10)/100 = 90/100 = 9/10.

AI explanation

Using the empirical probability formula, the probability is the number of times the event occurs divided by the total number of trials. The previous 100 trials resulted in tails 10 times, meaning heads were obtained 90 times. Therefore, the probability of getting a head is 90 divided by 100, which simplifies to 9/10.

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