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Mathematics

A coin is tossed two times. The probability of getting atleast one tail is :

  1. 34\dfrac{3}{4}

  2. 43\dfrac{4}{3}

  3. 12\dfrac{1}{2}

  4. 56\dfrac{5}{6}

Probability

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Answer

When a coin is tossed, each toss has 2 possible outcomes : head (H) or tail (T).

The number of possible outcomes when a coin is tossed n times = 2n

For this case, n = 2

So, 22 = 4

The number of possible outcomes when a coin is tossed 2 times is 4.

Number of favourable outcomes (Getting at least one tail) = 3 (HT, TH, TT)

P(Getting at least one tail) = Number of favourable outcomesTotal number of outcomes\dfrac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}

= 34\dfrac{3}{4}

Hence, option 1 is the correct option.

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