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Probability of drawing a card at random with replacement

What is the probability of drawing a card with replacement after drawing four cards each with a probability of $frac{1}{4}$ of being any of the cards in the deck, where the deck consists of 52 cards?

The probability of any one card being drawn is $frac{1}{4} times frac{1}{4} times frac{1}{4} times frac{1}{4} =frac{1}{16}$
Let $omega_i$ be the probability of drawing card $i$ where $i in {1,dots,52}$

The probability of drawing any card is then $frac{1}{16} times frac{1}{16} times frac{1}{16} times frac{1}{16} = frac{1}{64}$
$sum_{i=1}^{52} omega_i = 1$

This is clearly wrong as this would mean drawing a card twice. But when I input this equation in wolfram alpha, it gives the correct answer.

A:

Every string of four distinct values has probability $frac{1}{4}^4=frac{1}{64}$. However, the string «what» has probability $frac{1}{16}$.

In the past, the blood in the foot or lower legs of diabetics has been checked by the naked eye to observe if it is honey colored. This procedure is tedious and also hazardous. Additionally, the direct visualization of the color of blood in the foot or lower leg does not give a sufficient measure of diabetic control, since many other conditions can lead to discoloration of the blood, such as severe leg wounds, scratches, bruises, and the like.
The present invention provides a rapid and accurate means for determining the

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