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3 problems match “probability without replacement”. Clear

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1. Ace then king without replacement ●○○○○ 10 ptsA standard 52-card deck is shuffled. One card is drawn and not replaced, then a second card is drawn. Find the probability that the first card is an ace and the second card is a king. Give your answer as a decimal rounded to four decimal places.
2. First, fifteenth or last ball red ●●○○○ 20 ptsA box contains 100 balls, of which 40 are red. The balls are drawn from the box one at a time at random, without replacement. Determine: 1. the probability that the first ball drawn is red, 2. the probability that the fifteenth ball drawn is red, 3. the probability that the last ball drawn is red. Give each answer as a decimal.
3. Red balls after discarding draws ●●●○○ 50 ptsAn urn contains 2 yellow balls, 3 blue balls and 22 red balls. One ball is drawn, found to be red, and discarded. Then 5 balls are drawn and thrown away without looking at their colours. Given this information, what is the probability that if you now draw four balls from the urn, they are all red? Round to three decimal places.