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Probability in a pack of 52 cards | All basic concepts of cards in probability | Class 10 Video Lecture

FAQs on Probability in a pack of 52 cards - All basic concepts of cards in probability - Class 10 Video Lecture

1. What is the probability of drawing a red card from a standard deck of 52 cards?
Ans. In a standard deck of 52 cards, there are 26 red cards (13 hearts and 13 diamonds). Therefore, the probability of drawing a red card is 26/52, which simplifies to 1/2.
2. What is the probability of drawing an ace from a standard deck of 52 cards?
Ans. In a standard deck of 52 cards, there are 4 aces (one ace in each suit). Therefore, the probability of drawing an ace is 4/52, which simplifies to 1/13.
3. If two cards are drawn from a standard deck without replacement, what is the probability that both cards are spades?
Ans. In a standard deck of 52 cards, there are 13 spades. When the first card is drawn, there are 13 spades out of 52 cards. After the first card is drawn, there are 12 spades left out of 51 cards. Therefore, the probability of drawing two spades in a row without replacement is (13/52) * (12/51), which simplifies to 4/17.
4. What is the probability of drawing a face card (jack, queen, or king) from a standard deck of 52 cards?
Ans. In a standard deck of 52 cards, there are 12 face cards (4 jacks, 4 queens, and 4 kings). Therefore, the probability of drawing a face card is 12/52, which simplifies to 3/13.
5. If three cards are drawn from a standard deck with replacement, what is the probability that all three cards are hearts?
Ans. In a standard deck of 52 cards, there are 13 hearts. Since the cards are drawn with replacement, the probability of drawing a heart on each draw is 13/52. Therefore, the probability of drawing three hearts in a row with replacement is (13/52) * (13/52) * (13/52), which simplifies to 1/64.
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