# 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

- 1/2
- 1/3
- 2/5
- 1/5

**Answer: (1) 1/2**

**Explanation:-
**A coin tossed = 5 times

Then, the total number of cases = 2

^{5}= 2 x 2 x 2 x 2 x 2

= 32

The number of favourable cases =

^{5}C

_{1}+

^{5}C

_{3}+

^{5}C

_{5}

= 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.