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Two cards are drawn at random from a pack of playing cards. Find the probability that one card is a heart and the other is an ace.
[REE 2001 (Mains)]
- a)2/26
- b)1/26
- c)3/26
- d)4/26
Correct answer is option 'B'. Can you explain this answer?
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Two cards are drawn at random from a pack of playing cards. Find the p...
1/26 is the probability of getting a heart or an ace when drawing a single card from a deck of 52 cards.
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Two cards are drawn at random from a pack of playing cards. Find the p...
Answe ) 12 Black card + 12 red card =24 card
1 black king + red king 1
two cars / 52 cards porof your Answe (b) 1/26
1 black king + red king 1
two cars / 52 cards porof your Answe (b) 1/26
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Two cards are drawn at random from a pack of playing cards. Find the p...
To find the probability that one card is a heart and the other is an ace, we need to determine the total number of possible outcomes and the number of favorable outcomes.
Total number of possible outcomes:
There are 52 cards in a deck, so the first card can be any of the 52 cards. After the first card is drawn, there are 51 cards remaining in the deck, so the second card can be any of the 51 remaining cards. Therefore, the total number of possible outcomes is 52 * 51 = 2652.
Number of favorable outcomes:
There are 4 hearts in a deck, so the first card can be any of the 4 hearts. After the first card is drawn, there are 3 remaining hearts in the deck. There are 4 aces in a deck, so the second card can be any of the 4 aces. Therefore, the number of favorable outcomes is 4 * 3 = 12.
Probability:
The probability is given by the ratio of the number of favorable outcomes to the total number of possible outcomes.
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 12 / 2652
Simplifying the fraction, we get:
Probability = 1 / 221
Since the options are not given in fraction form, we need to convert the probability to decimal form.
Probability = 0.004524886877828055
The closest option to this decimal is option 'B' which is 1/26.
Therefore, the probability that one card is a heart and the other is an ace is 1/26.
Total number of possible outcomes:
There are 52 cards in a deck, so the first card can be any of the 52 cards. After the first card is drawn, there are 51 cards remaining in the deck, so the second card can be any of the 51 remaining cards. Therefore, the total number of possible outcomes is 52 * 51 = 2652.
Number of favorable outcomes:
There are 4 hearts in a deck, so the first card can be any of the 4 hearts. After the first card is drawn, there are 3 remaining hearts in the deck. There are 4 aces in a deck, so the second card can be any of the 4 aces. Therefore, the number of favorable outcomes is 4 * 3 = 12.
Probability:
The probability is given by the ratio of the number of favorable outcomes to the total number of possible outcomes.
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 12 / 2652
Simplifying the fraction, we get:
Probability = 1 / 221
Since the options are not given in fraction form, we need to convert the probability to decimal form.
Probability = 0.004524886877828055
The closest option to this decimal is option 'B' which is 1/26.
Therefore, the probability that one card is a heart and the other is an ace is 1/26.
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Two cards are drawn at random from a pack of playing cards. Find the probability that one card is a heart and the other is an ace.[REE 2001 (Mains)]a)2/26b)1/26c)3/26d)4/26Correct answer is option 'B'. Can you explain this answer?
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