Answer with explanation:
Total number of sections in the spinner = 1 to 5=5 in all
For, a Distribution to be a Binomial Distribution,
Number of trials Β should be fixed.
All trials should be Independent of one another.
Only two outcomes Β are Possible one is called Success and Other is failure.
Probability of each Outcome should remain constant irrespective of number of trials.
Probability of getting either of 1,2,3,4,or 5 when the spinner is spun once
Β Β [tex]=\frac{1}{5}[/tex]
Option C
When the spinner is spun four times, X is the number of times the spinner does not land on an odd number.
Probability of Failure ={1,3,5}=Getting odd number on spinner
Β Β Β Β Β [tex]=\frac{3}{5}[/tex]
Probability of Success={2,4}=Getting even number on spinner
Β Β Β Β [tex]=\frac{2}{5}[/tex]
Number of trials is fixed and each trial is independent of another.
Option D
Total Number of Trials= 5
Probability of Success = When the Spinner is spun and it Lands on 1
Probability of Failure = When the Spinner is spun and it does not Land on 1
When the Spinner is spun five times ,Probability of each Outcome,that is either of 1,2,3,4,or 5 is constant which is [tex]\frac{1}{5}[/tex]
ββWhen the spinner is spun five times, X is the number of times the spinner lands on 1.
ββ‘Option C and D
