Find The Probability That Tail Appears an Odd Number of Times

A coin is tossed 5 times. The probability that tail appears an odd number of times, is

  1. 1/2
  2. 1/3
  3. 2/5
  4. 1/5
Anurag Mishra Professor Asked on 4th October 2015 in Maths.
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1 Answer(s)

Answer: (1) 1/2

Explanation:-
A coin tossed = 5 times
Then, the total number of cases =  25 = 2 x 2 x 2 x 2 x 2
= 32
The number of favourable cases = 5C1 + 5C3 + 5C5
= 5 + 10 + 1
= 16

Therefore, the probability of tail appears = 16/32
= 1/2

Then, the probability that tail appears an odd number of times, is 1/2.

Hence, the answer is (1) 1/2.

Anurag Mishra Professor Answered on 4th October 2015.
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