TS EAMCET · Maths · Probability

Each of the two boxes $P$ and $Q$ contain $100$ chits numbered from $1$ to $100 .$ If one chit is drawn at random from each box, then the probability that the number on the chit drawn from $P$ is square of the number on the chit drawn from $Q,$ is

A $0.1 %$
B $10 %$
C $1 %$
D $0.01 %$

Verified Solution

Answer & Solution

Correct Answer

(A) $0.1 %$

Step-by-step Solution

Detailed explanation

Possibilities are So, number from Q should be ≤10, & from P should be square of number. Both these events are independent. So, probability of chit from P=select any card from Q numbering 1 to 10Total chits Probability of chit…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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Each of the two boxes P and Q contain 100 chits numbered from 1 to 100. If one chit is drawn at random from each box, then the probability that the number on the chit drawn from P is square of the number on the chit drawn from Q, is

Step-by-step Solution

Each of the two boxes $P$ and $Q$ contain $100$ chits numbered from $1$ to $100 .$ If one chit is drawn at random from each box, then the probability that the number on the chit drawn from $P$ is square of the number on the chit drawn from $Q,$ is