f) What is the probability of picking a spade given that the card is a three? Round answer to 3 decimal places. \( \square \)
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In a standard deck of 52 playing cards, there are 4 threes, one from each suit: hearts, diamonds, clubs, and spades. Therefore, the event of picking a three limits your options to these 4 cards. Out of these 4 threes, only 1 is a spade. So, the probability of picking a spade given that the card is a three is: \[ P(\text{spade} | \text{three}) = \frac{\text{Number of spades that are threes}}{\text{Total number of threes}} = \frac{1}{4} = 0.250 \] Thus, the rounded answer to three decimal places is \(0.250\).