JEE Main 2017 Mathematics question

An unbiased coin is tossed eight times. The probability of obtaining at least one head and at least one tail is:

(1)Correct
(2)
(3)
(4)

Answer: (1)

Solution

It is far easier to work with the complement. The event "**not** (at least one head and at least one tail)" means all eight tosses show the same face — either all heads or all tails. There are equally likely outcomes in total, and exactly of them are uniform (HHHHHHHH and TTTTTTTT). Hence

P(\text{all sam

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Question ID VK-115852