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

One hundred identical coins each with probability p as showing up heads are tossed. If 0<p<1 and the probability of heads showing on 50 coins is equal to that of heads on 51 coins, then the value of p is

A
12
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
49101
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
50101
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
51101
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D 51101
Let x be the number of coins showing heads
Given P(x=50)=P(x=51) and the probability of a coin showing head is p.
For P(x=50) ,out of 100 coins,50 are to be selected ,which means 10050C. The probability that these 50 coins are to be selected which means
10050C
The probability of other 50 coins showing up tail is (1p)50
p1p=5150p=51101

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