JEE Main20254 Apr 2025Evening ShiftMathematicsProbabilityActual
A card from a pack of 52 cards is lost. From the remaining 51 cards, n cards are drawn and are found to be spades. If the probability of the lost card to be a spade is 11 50 , the n is equal to
Correct answer
0
Step-by-step solution
n cards are drawn & are found all spade, thus remaining spades =13- x remaining total cards =52- x Now given that P ( lost card is spade )= 11 50 aligned & i.e. ^ 13- n C ₁ ^ 52- n C ₁ = 11 50 & 50(13- n )=11(52- n ) & 39 n =78 & n =2 aligned