Multiple choice

A coin is tossed $400$ times and the data of outcomes is below: Outcomes $H$ $T$ Frequency $280$ $120$ Find: (i) $P(H)$, i.e., probability of getting head (ii) $P (T)$, i.e., probability of getting tail. (iii) The value of $P (H) + P (T)$.

  1. $(i)\, 0.5$
    $(ii)\, 0.2$ 
    $(iii)\, 1$
  2. $(i)\, 0.7$ 
    $(ii)\, 0.3$ 
    $(iii)\, 1$
  3. $(i)\, 0.9$ 
    $(ii)\, 0.4$ 
    $(iii)\, 1$

  4. None of these
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B Correct answer
Explanation

P(H) = 280/400 = 0.7. P(T) = 120/400 = 0.3. P(H) + P(T) = 0.7 + 0.3 = 1.

AI explanation

Using the empirical probability formula, the probability of an event is its frequency divided by the total number of trials. The probability of getting a head is 280 divided by 400, which equals 0.7, and the probability of getting a tail is 120 divided by 400, which equals 0.3. Since these are the only two possible outcomes for a coin toss, the sum of their probabilities is 0.7 added to 0.3, which equals 1. The results are 0.7 for the first part, 0.3 for the second part and 1 for the third part.

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