JEE Main 2020MathematicsProbabilityMediumMCQ

JEE Main 2020Probability Question with Solution

JEE Main 2020 (09 Jan Shift 1)

Question

In a box, there are 20 cards, out of which 10 are labelled as A and the remaining 10 are labelled as B . Cards are drawn at random, one after the other and with replacement, till a second A card is obtained. The probability that the second A card appears before the third B card is:

Choose an option

Show full solutionCorrect option: B
Correct answer
B1116

Step-by-step explanation

PA=12 PB=12

PAA+ABA+BBA+ABBA+BBAA+BABA=14+18+18+116+116+116=1116

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Probability chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

About this question

This is a previous-year question from JEE Main 2020, covering the Probability chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.