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

A fair coin is tossed a fixed number of times. If the probability of getting 7 heads is equal to that getting 9 heads, then the probability of getting 3 heads is

A
35212
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
35214
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
7212
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
7214
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 35212
Probability of r successes in n trials is equal to nCrprqnr, where p is the probability of success in one trial and q is the probability of failure in one trial.
Let the coin be tossed n times. Here p and q are both 1/2
P(getting 7 heads)=nC7(12)n andP(getting 9 heads)=nC9(12)nGiven, P(7 heads)=P(9 heads) nC7=nC9n=16P(3 heads)=16C3(12)16=35212.

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