This math skill teaches how to calculate the probability of drawing specific cards in sequence from a given hand. It involves understanding dependent events, since drawing one card affects the probability of drawing the next. The probabilities are multiplied to find the combined chance of drawing the cards in order.
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Probability of drawing specific cards from a hand in order
Test your understanding of probability of cards in order by practicing it! Work through the below exercises to use it in practice.
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What is the probability of drawing a king, then and ace, in sequence from this hand?
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These are dependent events, since drawing the first card will change the hand by removing one card. We need both the king and the ace draw to happen, so it's an intersection, or multiplication, of probabilities. The second probability is the chance of drawing an ace, given that the king has been drawn.
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Drawing a king on our first draw is a relatively simple 1 in 6 probability.
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But now, since the king has been drawn, we only have 5 cards remaining and 2 aces, for a 2 out of 5 probability
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Multiplying these together, we get 2 over 30, which simplifies to 1 over 15 as our answer.