A standard pack of $52$ playing cards is randomly divided into two unequal piles. Given that the p

Question

A standard pack of $52$ playing cards is randomly divided into two unequal piles. Given that the probability of drawing a picture card from the smaller pile is $\frac{4}{11}$ while the probability of drawing a non-picture card from the bigger pile is $\frac{13}{15}$, find the number of cards in each pile.

Accepted Answer

Smaller pile: $22$ cards Larger pile: $30$ cards

Probability: Selecting Cards from Two Piles

Probability: Selecting Cards from Two Piles

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