Class 10 Exam > Class 10 Videos > 04 - Probability Based on Card Experiment (Problem Solving_2) - Class 10 - Maths
04 - Probability Based on Card Experiment (Problem Solving_2) - Class 10 - Maths Video Lecture
FAQs on 04 - Probability Based on Card Experiment (Problem Solving_2) - Class 10 - Maths Video Lecture
| 1. What is the probability of drawing a heart from a standard deck of playing cards? |  |
Ans. In a standard deck of playing cards, there are 52 cards in total, out of which 13 are hearts. Therefore, the probability of drawing a heart from a standard deck is 13/52, which can be simplified to 1/4.
| 2. If two cards are drawn from a deck without replacement, what is the probability that both cards are spades? | |
Ans. When two cards are drawn from a deck without replacement, the total number of cards decreases. In a standard deck, there are 52 cards, out of which 13 are spades. For the first card, the probability of drawing a spade is 13/52. After drawing the first spade, there are 51 cards left, including 12 spades. So, the probability of drawing a second spade is 12/51. Therefore, the probability of drawing two spades without replacement is (13/52) * (12/51), which can be simplified to 4/17.
| 3. What is the probability of drawing a face card (jack, queen, or king) from a standard deck of playing cards? | |
Ans. In a standard deck of playing cards, there are a total of 12 face cards (4 jacks, 4 queens, and 4 kings). Since there are 52 cards in total, the probability of drawing a face card is 12/52, which can be simplified to 3/13.
| 4. If a card is drawn at random from a standard deck of playing cards, what is the probability that it is a black card? | |
Ans. In a standard deck of playing cards, there are 26 black cards (13 spades and 13 clubs) out of a total of 52 cards. Therefore, the probability of drawing a black card is 26/52, which can be simplified to 1/2.
| 5. If two cards are drawn from a deck with replacement, what is the probability that both cards are diamonds? | |
Ans. When two cards are drawn from a deck with replacement, it means that after each draw, the card is put back into the deck before drawing the next one. In a standard deck, there are 52 cards, out of which 13 are diamonds. The probability of drawing a diamond in each draw remains the same, which is 13/52. Therefore, the probability of drawing two diamonds with replacement is (13/52) * (13/52), which can be simplified to 169/2704.
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Dec 23, 2024 Last updated |
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