CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A fair coin is tossed 100 times. The probability of getting tails an odd number of times is
(a) 1/2
(b) 1/8
(c) 3/8
(d) None of these

Open in App
Solution

(a) 1/2

Here n=100
Let X denote the number of times a tail is obtained.

Here, p =q = 12P(X=odd) = P(X=1,3,5,....99) = C1100+C3100+.....+C9910012100= Sum of odd coefficients in binomial expansion in (1+x)10012100= 2(100-1)2100= 12

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Events and Types of Events
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon