Question bank/JEE Main/Mathematics

JEE MainMathematicsModeratePemutation and combination

From a well shuffled deck of cards, 2 cards are drawn with
replacement. If x represent numbers of times ace coming, then value of
P(x = 1) + P (x = 2) is.

Show answer and solution
P(x=1)=452×4852×2=24169P(x = 1) = \frac{4}{52} \times \frac{48}{52} \times 2 = \frac{24}{169}
P(x=2)=452×452=1169P(x = 2) = \frac{4}{52} \times \frac{4}{52} = \frac{1}{169}
⇒\Rightarrow P(x=1)+P(x=2)=25169P(x = 1) + P(x = 2) = \frac{25}{169}

Source: Grass-G / M-11 Mathematics Paper-2 1Nov.docx

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