Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If a 1 , a 2 , b 1 and b 2 take values in the set {1, -1,0}, then the probability that the equation a 1 a 2 = b 1 b 2 is satisfied is 
, ( p & q are co-prime) then, q - 2p is
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
5
Total ways is 3 4
Now, a 1 a 2 = b 1 b 2
If,
Case (1)a 1 a 2 – b 1 b 2 = 0
If at least one of (a 1 or a 2 ) and (b 1 or b 2 ) is "0" i.e. (3 2 - 2 2 ) ways
Case (2) a 1 a 2 = b 1 b 2 = +1
Botha 1 ,a 2 is+1
or-l
i.e. 2 2 ways
Case (3) a 1 a 2 = b1b2 = -1
2 2 ways
Hence, required probability
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
A biased coin that has a probability of getting heads as p (0 < p < 1) is tossed until a head appea…
The minimum number of times a fair coin needs to be tossed, so that the probability of getting at l…
A bag contains a mixed lot of red and blue balls. If two balls are drawn at random, the probability…
A term is randomly chosen from the expansion of . If the probability that it is a rational term is…
A fair die is thrown n number of times. If the probability of always getting a number greater than …
The probability of India winning a test match against Australia is . Assuming the matches to be in…