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

A point (α,β), α,βZ is selected at random from inside of triangle formed by x+y=10 and both the co-ordinate axes. If α,β are odd integers, then the probability that both α,β are prime numbers, is

A
112
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
310
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
518
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
13
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 310
For (0,0), 0+010<0
For point (α,β) to be inside the triangle,
α+β<10
If α,β are odd integers, possible points are
(1,1),(1,3),(1,5),(1,7),(3,1),(3,3),(3,5),(5,1),(5,3),(7,1)
Total cases =10
If α,β are primes, possible points are
(3,3),(3,5),(5,3)
Total such cases =3

Required probability =310

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