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

Three ships A,B and C sail from England to India. If the ratio of their arriving safely are 2:5, 3:7 and 6:11 respectively then the probability of all the ships for arriving safely is


A

18595

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B

617

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

310

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

27

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A

18595


Explanation for the correct answer:

The ratio of ship A arriving is 2:5

Hence, the probability of ship A arriving is given as

pA=22+5=27

The ratio of ship B arriving is 3:7

Hence, the probability of ship B arriving is given as

pB=33+7=310

The ratio of ship C arriving is 6:11

Hence, the probability of ship C arriving is given as

pC=66+11=617

The arrival of ships A,B,C to India are independent events.

Hence, the probability of all three arriving is given as

pcombined=pA×pB×pC

=27×310×617

⇒ p(combined)=361190=18595

Hence, the probability of all three ships A,B and C arriving to India is 18595.

Hence, option A is the correct answer.


flag
Suggest Corrections
thumbs-up
2
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Geometric Probability
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon