Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Probability that a student will succeed in 
entrance test is 
and that he will succeed in Roorkee
entrance test is 
. If the probability that he will be successful at both the places is 
, then the
probability that he does not succeed at both the places is 
. Find 
.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
6
Let 
denotes the event that the student is selected in 
entrance test and 
denotes the
event that he is selected in Roorkee entrance test. Then
Required probability 
10.
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
If and are the probabilities
of three mutually exclusive events, then the set of all values of p …
The probability that a leap year selected randomly will have
53 Sundays is
Three identical dice are rolled. The probability that same
number will appear on each of them will …
Three of the six vertices of a regular hexagon are chosen at random. The probability that the trian…
Three distinct numbers are selected from 100 natural number. The probability that all the three num…
Out of 21 tickets marked with numbers from 1 to 21, three are drawn at random. The chance that the …