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From a pack of 52 playing cards, one card is drawn at random. What is the probability that it is a jack of spade of queen of heart?

Question

From a pack of 52 playing cards, one card is drawn at random. What is the probability that it is a jack of spade of queen of heart?

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Solution

The probability of drawing a specific card from a deck of 52 cards is calculated by dividing the number of favorable outcomes by the total number of outcomes.

Step 1: Identify the total number of outcomes. In a standard deck of 52 cards, there are 52 possible outcomes because we could draw any of the 52 cards.

Step 2: Identify the number of favorable outcomes. In this case, we are looking for either the jack of spades or the queen of hearts. There is only one jack of spades and one queen of hearts in a deck, so there are 2 favorable outcomes.

Step 3: Calculate the probability. The probability is the number of favorable outcomes divided by the total number of outcomes. So, the probability of drawing either the jack of spades or the queen of hearts is 2/52 = 1/26.

So, the probability of drawing either the jack of spades or the queen of hearts from a standard deck of 52 cards is 1/26.

This problem has been solved

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