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

Let p be the probability that a man aged x years will die in a year time. The probability that out of n men A1,A2,A3,....,An each aged x years, A1 will die & will be the first to die, is

A
1pnn
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
pn
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
p(1p)n1n
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
1(1p)nn
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D 1(1p)nn
Let Ei be the event that Ai will die in a year where i=1, 2, 3, 4, ..., n
The probability that none of A1,A2,A3,...,An dies in a year
=(1pA1).(1pA2),...,(1pAn)
Where pA1,pA2,...,pAn are the probabilities that A1,A2,A3,...,An dies in a year respectively.
=(1p).(1p),...(1p)=(1p)n
Now the probability that at least one of A1,A2,A3,...,An
=1(1p)n
The probability that among n men A1 is the first one to die is 1n
Therefore, the required probability is
=1n[1(1p)n]


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