CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
Question

A fair coin is flipped once. What is the probability of getting a head and a tail simultaneously? Write the event type.

A
0, Certain event
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
1, Impossible event
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
0, Impossible event
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
1, Certain event
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 0, Impossible event
For flipping a fair coin,
Sample Space ={H, T}
Total number of outcomes =2

For getting a head and a tail simultaneously,
Favorable outcomes ={HT, TH}, which do not belong to the sample space.
Number of favorable outcomes =0
[Favorable outcomes must be taken from sample space only]

Hence, the probability of getting a head and a tail simultaneously,

P(getting a head and a tail simultaneously)=Number of favorable outcomesTotal number of outcomes=02=0

Probability of getting both, a head and a tail is 0. That implies the event is impossible.
[Events with zero probability are called impossible events]

Hence, option (c.) is the correct choice.

flag
Suggest Corrections
thumbs-up
0
BNAT
mid-banner-image