wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

An unbiased coin is tossed once. What is the complement of the following event X
X = {coin shows heads}

A
Coin shows either heads or tails
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
Coin shows heads and tails
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
Coin shows tails
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
None of the above
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C Coin shows tails
First let’s decide what will be the sample space of the experiment of tossing a coin once. It will be {H, T} as either head comes up or tails comes up.
So S = {H,T}
Now X = {H}
X’ or complement of X is everything in sample space except Heads.
So X’ = {H,T} - {H}
= {T}

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